MCQ- Measuring Regular and composite solids (Class- 9, Experience- 8)

Multiple Choice Quiz

Multiple Choice Quiz: Test Your Knowledge about Trigonometry for Angular Distance!

Question 1: What is arc?

A. The distance of any point from the center of the circle
B. A segment of a circle bounded between two points
C. A line from the center to the circumference of the circle
D. Circumference of circle

Question 2: Which of the circles will have greater area?

A. Circular collar with 90 degree angle
B. Circular collar with 45 degree angle
C. Circular collar with 30 degree angle
D. Circular collar with 60 degree angle

Question 3: What is the angle?

A. A three-dimensional solid starting from a circular surface meeting at a vertex
B. The length of the radius of a circle
C. A right triangle
D. Circumference of a circle

Question 4: What is the volume of the sphere?

A. 2πr³
B. 4 3 πr³
C. 2πr²
D. 3πr²

Question 5: How is the surface area of a prism calculated?

A. The size of the base times one is equal to the area around it
B. The size of the base times two is equal to the area around it
C. The size of the base times three is equal to the area around it
D. The size of the base times four plus the area around it

Question 6: Which part of the angle is known as curved surface?

A. land
B. the apex
C. side floor
D. height

Question 7: What is the surface area of an equilateral prism?

A. 2 times the area of the base by 4
B. 2 times the area of the base by 3
C. 2 times the area of the base by 2
D. 2 times the area of the base by 5

Question 8: What is the surface area of the sphere?

A. 2πr²
B. 4πr²
C. 3πr²
D. 5πr²

Question 9: How is the volume of a pyramid calculated?

A. Multiply the size of the base by the height and divide by three
B. Multiply the base size by the width and divide by two
C. The size of the base is wide
D. Multiply the base size twice and divide by three

Question 10: How is the surface area of a pyramid calculated?

A. The perimeter of the base times the height
B. The perimeter of the base times the sloped height
C. Multiply the perimeter of the base three times and divide by two
D. Base size times width

Question 11: What is the difference between the surface area of a sphere and the area of a circle?

A. Double the area of the sphere
B. Half the area of the sphere
C. The area of the sphere is equal
D. The area of a sphere is three times the area of a circle

Question 12: What is the formula for determining the area of a circle?

A. θ 360 × 2πr
B. θ 360 × πr²
C. πr²
D. 2πr

Question 13: What is the volume of a prism if the base is 8 square units and the height is 12 units?

A. 12 square units
B. 80 square units
C. 96 square units
D. 96 square units

Question 14: To calculate the surface area of an equilateral prism, what must be done?

Question 15: What is the length of the inclined plane of the angle?

A. diameter of the circle
B. radius of the circle
C. Distance from the vertex to the ground
D. Circumference of circle

Question 16: What is the volume of a prism if its base is 6 square units and its height is 10 units?

A. 60 square units
B. 600 sq. unit
C. 60 square units
D. 600 sq. unit

Question 17: What is the formula for determining the area of curved surface of an angle?

A. πr²
B. πr(h+r)
C. πrl
D. ( 1 3)πr²h

Question 18: Which formula is used to determine the volume of a sphere?

A. 4πr²
B. 4 3 πr³
C. πr²
D. 2 3 πr³

Question 19: How is the surface area of a prism calculated?

A. Multiply the area of the base by 2 and add the area around the base
B. Multiply the area of the base by 2 and add the area around the base
C. The area of the base times 4 is equal to the area around it
D. The area of the base times 3 is equal to the area around it

Question 20: What is done to calculate the volume of an equilateral prism?

A. Base size times height
B. The size of the base times the length
C. The width of the prism times the size of the base
D. Multiply the size of the base by the height and then divide by two

Question 21: What is the surface area of a sphere if its radius is 6 units?

A. 72π units
B. 144π units
C. 36π units
D. 48π units

Question 22: What is the formula for determining the surface area of a corner?

A. πr²
B. πr(h+r)
C. πrl
D. πr(r + l)

Question 23: What is the vertex of a pyramid known as?

A. the base
B. Leaning height
C. the apex
D. The apex of the pyramid

Question 24: The base of a pyramid can be a ...

A. triangle
B. square
C. polygon
D. all of them

Question 25: What type of polygon can be the most common base of an equilateral prism?

A. square
B. triangle
C. Equilateral polygon
D. boy

Question 26: What is the formula for determining the volume of an angle?

A. πr²h
B. (1/2)πr²h
C. ( 1 3)πr²h
D. ( 1 4)πr²h

Question 27: What is the volume of the sphere if its radius is 5 units?

A. 125π units
B. 600π units
C. 250π units
D. 1000π units

Question 28: What is the most common type of a pyramid?

A. Balanced pyramid
B. Assam pyramid
C. Most bases
D. Triangular pyramid

Question 29: What is the formula for determining the surface area of a sphere?

A. 2πr²
B. 4πr²
C. 6πr²
D. 3πr²

Question 30: How are the area of an angle and the area of a curve related?

A. The area is twice the surface of the curve
B. Area and surface area are equal
C. Area is half of the curve
D. The area is three times the surface of the curve

Question 31: How is the height of a pyramid defined?

A. A perpendicular line from the vertex to the base
B. The distance of one corner from the base
C. Perpendicular line from the vertex to the center of the base
D. Perpendicular line from the vertex to the adjacent angle of the base

Question 32: How to calculate the lateral surface area of a pyramid?

A. Total area of the base times the height of the flat surface of the base from the vertex
B. The total area around the base times the height of the flat surface of the base from the vertex
C. Total area of the base times the height of the center of the base from the vertex
D. The perimeter of the base times the height of the flat surface of the base from the vertex

Question 33: What is the lateral angle of the base of the pyramid?

A. 3
B. 4
C. 5
D. 6

Question 34: How is a prism defined?

A. Angled through a three-D interior rug
B. Pyramid through a three-D interior rug
C. Parallel layer on two opposite sides
D. Two triangles are raw

Question 35: What is the height of the angle?

A. length of the radius
B. Extent of land
C. The perpendicular thrown from the vertex to the center of the ground
D. The length of the side from the vertex

Question 36: What is the formula for determining the length of a circle?

A. θ 360 × 2πr
B. θ 360 × πr²
C. πr²
D. 2πr

Question 37: If the radius of the sphere is 7 units, what will be its volume?

A. 700π units
B. 3430π units
C. 1436π units
D. 3580π units

Question 38: To calculate the surface area of a prism, what must be done?

A. Multiply the area of the base by two and add the space around the two bases
B. Multiply the area of the base by three and add the surrounding area
C. Multiply the area of the base by one and add the surrounding area
D. Multiply the area of the base by four and add the surrounding space

Question 39: What is the volume of the sphere if its radius is 10 units?

A. 1000π units
B. 4000π units
C. 400π units
D. 1600π units

Question 40: If the radius of the angle is 5 units and the length of the inclined plane is 13 units, what is the area of the curved surface of the angle?

A. 65π units
B. 130π units
C. 25π units
D. 50π units

Question 41: What is the length of a corner times the height of the base of a pyramid?

A. Two and a half times the volume
B. A quarter of the volume
C. Three times the volume
D. Three quarters of the volume

Question 42: If the radius of the angle is 4 units and the height is 6 units, what is the area of the angle?

A. 48π units
B. 32π units
C. 64π units
D. 24π units

Question 43: What is the formula for determining the surface area of a corner?

A. πr(r + l)
B. πr(h + l)
C. πr² + πrl
D. πr² + πr(h + l)

Question 44: If the radius of the angle is 3 units and the height is 4 units, what is the total surface area of the angle?

A. 15π units
B. 24π units
C. 21π units
D. 45π units

Question 45: How is the height of a prism defined?

A. The length of the perimeter of the triangle inside the prism
B. The shortest length of the prism, from the top to the bottom of the prism
C. The volume of the edge of the prism
D. The perimeter of a quadrilateral inside a prism

Question 46: How is the lateral surface area of a prism calculated?

A. The perimeter of the base times the height
B. Base size times width
C. The perimeter of the base times the width
D. Multiply the size of the base

Question 47: Which is the equation for determining the surface area of a corner?

A. πr² + πrh
B. πr² + πrl
C. πr(h + r)
D. 2πr²

Question 48: If the radius of the angle is 7 units and the height is 24 units, what is the length of the inclined plane of the angle?

A. 25 units
B. 26 units
C. 27 units
D. 28 units

Question 49: What is the surface area of a sphere if its radius is 4 units?

A. 64π units
B. 32π units
C. 16π units
D. 24π units

Question 50: What measurements are needed for a pyramid to calculate its volume?

A. Base size and height
B. Base size and tilt height
C. Base size and width
D. Perimeter and height of the base

Question 51: What is the volume of the sphere if its radius is 3 units?

A. 108π units
B. 36π units
C. 84π units
D. 252π units

Question 52: How is the volume of a prism calculated?

A. The perimeter of the base times the height
B. The size of the base is multiplied by the width and divided by two
C. Base size times height
D. The size of the base is wide

Question 53: How many bases does a prism have?

A. a
B. Two
C. Three
D. four

Question 54: If the radius of the angle is 6 units and the length of the inclined plane is 10 units, what is the area of the curved surface of the angle?

A. 30π units
B. 60π units
C. 36π units
D. 120π units

Question 55: Which formula is used to determine the height of an angle?

A. √ (r² + h²)
B. √ (l² - r²)
C. √ (h² - r²)
D. √ (r² + l²)

Question 56: If the radius of the angle is 8 units and the length of the inclined plane is 17 units, what is the area of the curved surface of the angle?

A. 136π units
B. 102π units
C. 85π units
D. 68π units

Question 57: What is the surface area of a sphere if its radius is 2 units?

A. 12π units
B. 4π units
C. 16π units
D. 8π units

Question 58: What is the volume of the sphere if its radius is 1 unit?

A. 4π units
B. 2π units
C. 3π units
D. 4 3π units

Question 59: Where is the vertex of the angle?

A. at the center of the circle
B. on the circumference of the circle
C. At the point at the top of the corner where all the sides meet
D. inside the corner

Question 60: What is the lateral surface area of a prism called?

A. Finn
B. the bean
C. the peak
D. Lateral face

Question 61: How many measurements are usually needed to calculate the base size of a prism?

A. a
B. Two
C. Three
D. four

Question 62: What does the length of the inclined plane of an angle represent?

A. radius of the circle
B. Circumference of circle
C. Distance from the vertex to the ground
D. The length of the side from the vertex

Question 63: What is the surface area of a sphere if its radius is 5 units?

A. 250π units
B. 200π units
C. 125π units
D. 150π units

Question 64: What is the formula for the volume of a sphere?

A. 4 3 πr³
B. 2 3 πr³
C. πr²
D. 4πr²

Question 65: How is the area of the curved surface of an angle and the area of a circle related?

A. The area of the curve is equal
B. The area of the curve is doubled
C. Half the area of the curve
D. No relation

Question 66: To calculate the volume of a prism, how many times its base size?

A. Multiply the size of the base by the height and divide by two
B. Multiply the base size by width and divide by two
C. Base size times height
D. Multiply the size of the base by three

Question 67: How is the lateral surface area of a prism usually calculated?

A. The perimeter of the base is two
B. The perimeter of the base is wide
C. Multiply the perimeter of the base by three times and divide by two
D. The perimeter of the base times the height

Question 68: What is the formula for determining the area of a corner plot?

A. πr²
B. πrl
C. 2πr
D. πr²h

Question 69: Which part of an angle is called the "area of a circle"?

A. radius of the circle
B. Distance from the vertex to the ground
C. curved surface of the corner
D. Area of land

Question 70: What is the surface area of a sphere if its radius is 3 units?

A. 36π units
B. 48π units
C. 18π units
D. 24π units

Question 71: How many bases does a prism have?

A. Two
B. Three
C. four
D. five

Question 72: How is the circumference of a circle calculated?

A. 2πr
B. πr²
C. Πr
D. r²

Question 73: What is the volume of the sphere if its radius is 7 units?

A. 1960π units
B. 2000π units
C. 1436π units
D. 3430π units

Question 74: How is the surface area of a corner determined?

A. πr² + 2πr
B. πr² + πrh
C. πr(r + l)
D. 2πr² + πrl

Question 75: If the radius of the angle is 5 units and the length of the inclined plane is 13 units, what is the total surface area of the angle?

A. 65π units
B. 90π units
C. 120π units
D. 85π units

Question 76: Which measure of an angle helps determine the length of the arc of an angle?

A. height
B. diameter
C. Distance from the vertex to the ground
D. The length of the side from the vertex

Question 77: If the radius of the angle is 7 units and the length of the inclined plane is 25 units, what is the total surface area of the angle?

A. 175π units
B. 196π units
C. 294π units
D. 242π units

Question 78: What is the surface area of a sphere if its radius is 8 units?

A. 512π units
B. 256π units
C. 128π units
D. 204π units

Question 79: How is the area of a circle calculated?

A. 2πr
B. πr²
C. r²
D. πr

Question 80: How is the arc length of a concentric angle of a circle calculated?

A. θ  360 × 2πr
B. θ  180 × πr
C. θ  270 × 3πr
D. θ  90 × r

Question 81: What is the relationship between radius of sphere and volume of sphere?

A. Proportion
B. opposite
C. Ratio is not determinable
D. No relation

Question 82: If the radius of the angle is 9 units and the height is 12 units, what is the area of the angle?

A. 324π units
B. 108π units
C. 486π units
D. 216π units

Question 83: If the radius of the angle is 6 units and the height is 8 units, what is the length of the inclined plane of the angle?

A. 10 units
B. 12 units
C. 14 units
D. 8 units

Question 84: If the radius of the sphere is 5 units, what will be its volume?

A. 125π units
B. 600π units
C. 500π units
D. 250π units

Question 85: How is the area of a circle calculated?

A. θ  360 × πr²
B. θ  180 × πr²
C. θ  90 × πr²
D. θ  270 × πr²

Question 86: How to calculate the area of an angle?

A. 1/2 × r²
B. 1  4 × r²
C. 1  8 × r²
D. 1  6 × r²

Question 87: What is the surface area of a sphere if its radius is 3 units?

A. 36π units
B. 18π units
C. 48π units
D. 12π units

Question 88: Where is the vertex of the angle located?

A. At the center of the earth
B. on land
C. on the lateral surface
D. at the apex

Question 89: If the central angle is 60 degrees and the radius of the circle is 12 units, what is the length of the arc?

A. 4π units
B. 8π units
C. 2π units
D. 12π units

Question 90: If central angle θ = 90 degrees and radius r = 10 units, what will be the area of the circle?

A. 50π units
B. 25π units
C. 10π units
D. 20π units

Question 91: What is the area of a circle and the length of an arc?

A. by diameter and radius
B. by central angle and radius
C. by circumference and diameter
D. by diameter and central angle

Question 92: If θ = 270 degrees and r = 4 units, what is the length of the arc?

A. 6π units
B. 8π units
C. 12π units
D. 3π units

Question 93: Which of the following is correct for determining the volume of a sphere?

A. 4 3 πr³
B. 3πr²
C. 2πr²
D. 2 3 πr³

Question 94: If θ = 30 degrees and r = 6 units, what is the area of the circle?

A. 3π units
B. 6π units
C. 1π unit
D. 9π units

Question 95: What is the surface area of a sphere if its radius is 9 units?

A. 324π units
B. 252π units
C. 144π units
D. 162π units

Question 96: How is the area of the base of a pyramid calculated?

A. 1/2 × b × h
B. b × h
C. b × w
D. b²

Question 97: How is the lateral surface area of a pyramid calculated?

A. 1/2 × b × l
B. b × l
C. b × w
D. b²

Question 98: How is the curved surface area of an angle calculated?

A. πr
B. πrl
C. πr²
D. πr³

Question 99: If the radius of the sphere is 10 units, what will be its volume?

A. 4000π units
B. 2500π units
C. 1000π units
D. 400π units

Question 100: How is the area of the circumcircle of a corner calculated?

A. πr²
B. πr × l
C. πrl
D. 1/2 × πr²

Question 101: If θ = 60 degrees and r = 8 units, what is the length of the arc?

A. ( 1  3)π units
B. ( 4  3)π units
C. ( 8  3)π units
D. ( 16   3)π units

Question 102: What is the surface area of a sphere if its radius is 7 units?

A. 196π units
B. 256π units
C. 112π units
D. 128π units

Question 103: What is the volume of the sphere if its radius is 2 units?

A. 16π units
B. 8π units
C. 4π units
D. 8 3π units

Question 104: If θ = 45 degrees and r = 10 units, what is the area of the circle?

A. 5π units
B. 10π units
C. ( 25 2)π units
D. ( 50 2)π units

Question 105: What is a sphere?

A. A circle given a flat surface
B. Only the perimeter border lines around the center of a circle
C. The intersection of two circles separated by a straight line
D. A three-dimensional solid formed by the rotation of a circle

Question 106: What is called a prism?

A. An object composed of two unequal polygonal bases
B. An object has five equal bases on its surface
C. A solid composed of two equal and consecutive polygonal bases
D. A solid composed of two equal and concave bases

Question 107: If the radius of the sphere is 6 units, what will be its volume?

A. 432π units
B. 432π units
C. 864π units
D. 864π units

Question 108: What is the term used for the two bases of a prism?

A. base polygon
B. Base parallelogram
C. Base polygonal figure
D. Base polygonal support

Question 109: What type of prism is balanced prism?

A. The base of the prism is spherical
B. The base of the prism is exactly wide
C. The base of the prism is an equilateral polygon
D. The base of the prism is an inequivalent polygon

Question 110: How is the volume of a prism determined?

A. The area of the base is multiplied by the height
B. The area of the base is multiplied by the length of the base
C. The area of the base is multiplied by twice the height
D. The area of the base is multiplied by the length of the prism

Question 111: If the central angle of a circle is 180 degrees and the radius is 7 units, what is the length of the arc?

A. 7π units
B. 14π units
C. 14 units
D. 7 units

Question 112: If the central angle is 120 degrees and the radius of the circle is 9 units, what will be the area of the circle?

A. 27π units
B. 18π units
C. 9π units
D. 36π units

Question 113: How is the surface area of a prism calculated?

A. Multiply the area of the base by 2 and add the area around the base
B. Multiply the area of the base by 3 and add the area around the base
C. Multiply the area of the base by 1 and add the area around the base
D. Multiply the area of the base by 4 and add the space around the base

Question 114: What is the volume of the sphere if its radius is 4 units?

A. 512π units
B. 256π units
C. 268π units
D. 268π units

Question 115: If the radius of the angle is 10 units and the height is 24 units, what is the area of the angle?

A. 800π units
B. 2400π units
C. 1000π units
D. 1200π units

Question 116: What is the surface area of a sphere if its radius is 12 units?

A. 144π units
B. 864π units
C. 576π units
D. 768π units

Question 117: Which prism is called balanced prism?

A. A prism that has two equal bases and has the shape of an equilateral polygon
B. A prism that has a perfectly rectangular base
C. The height of the prism is equal to 2-times the height
D. The base of the prism is an irregular polygon

Question 118: What is the volume of a prism if its base is 4 square units and its height is 6 units?

A. 6 square units
B. 24 square units
C. 24 square units
D. 24 square units

Question 119: What is the surface area of an equilateral prism?

A. 4 times the area of the base
B. Multiply the area of the base by 4
C. The area of the base is equal to 2 times the area around it
D. Multiply the area of the base by 3

Question 120: If θ = 60 degrees and r = 5 units, what is the length of the arc?

A. 5π units
B. 10π units
C. ( 1 3)π units
D. ( 1 6)π units

Question 121: What is the volume of an inhomogeneous prism if the base is 5 square units and the height is 7 units?

A. 5 square units
B. 55 square units
C. 35 square units
D. 35 square units

Question 122: How to calculate the surface area of a prism?

A. Multiply the size of the base by two
B. The size of the base times four
C. Multiply the size of the base by three
D. The size of the base is multiplied by one

Question 123: If the central angle is 45 degrees and the radius of the circle is 8 units, what is the area of the circle?

A. 8π units
B. 4π units
C. 16π units
D. 2π units

Question 124: Which type of prism is called an inequilibrium prism?

A. A prism whose base is a rectangular polygon
B. A prism whose base is in the shape of an equilateral polygon
C. A prism whose base is in the form of an inequilateral polygon
D. A prism whose base is spherical in shape

Question 125: How many types of prism base can be?

A. a type
B. Two types
C. Three types
D. Four types

Question 126: If the central angle of a circle is θ degrees and the radius is r, which of the following is the correct formula for finding the length of an arc?

A.   θ  180 × πr
B. θ  360 × 2πr
C. θ  360 × πr²
D. 2πr

Question 127: If the central angle is 90 degrees and the radius of the circle is 10 units, what is the length of the arc?

A. 5π units
B. 2π units
C. 5 units
D. 10π units

Question 128: What is the volume of an inhomogeneous prism if the base is 3 square units and the height is 4 units?

A. 5 square units
B. 30 square units
C. 12 square units
D. 12 square units

Active Math Class