MCQ Questions

Question No. 1

Calculate the area of the rectangular prisms that have the measurements provided.

Answer :

a) breadth = 12 mm, height = 10 mm, length = 15 mm

b) breadth = 6.1 cm, height = 2.7 cm, length = 8.3 cm

c) breadth = 22 mm, height = 3.1 cm, length = 45 mm

d) breadth = 2 m, height = 150 cm, length = 75 cm

Question No. 2

Calculate the area of a triangular prism with the following measurements. Note that the cross-section is an isosceles triangle.

Answer :

a) breadth = 30 mm, ⟂ height = 20 mm, length = 36 mm

b) breadth = 10 cm, ⟂ height = 12 cm, length = 16 cm

c) breadth = 14 cm, ⟂ height = 24 cm, length = 30 cm

d) breadth = 1.6 m, ⟂ height = 150 cm, length = 200 cm

Question No. 3

Calculate the area of a square-based pyramid with the following measurements.

Answer :

a) side of square = 16 cm, slant height = 24 cm

b) side of square = 60 mm, ⟂ height = 40 mm

c) side of square = 10 cm, ⟂ height = 12 cm

d) side of square = 32 mm, ⟂ height = 30 mm

Question No. 4

Calculate the area of the cuboid.

Answer :

Question No. 5

Calculate the area of the triangular prism.

Answer :

a) sides of triangular cross-section = 18 cm, 14 cm, 15 cm

Question No. 6

A triangular prism has area 816 cm². If each side of the equilateral triangle is 12 cm, calculate the length of the prism.

Answer :

Question No. 7

Determine the side of a cube with area 73.5 cm².

Answer :

Question No. 8

A square-based pyramid has an area of 144 cm². Calculate the perpendicular height of the pyramid if each side of the base is 8 cm.

Answer :

Question No. 9

Twenty-seven cubes fit exactly inside a cubical container without a lid. How many of the cubes are touching the sides or bottom of the container?

Answer :

Question No. 10

Calculate the total surface area of the house drawn below. The doorway is square.

Answer :

Question No. 11

Calculate the area of a cylinder with the following measurements.

Answer :

a) r = 3 cm and h = 12 cm

b) r = 4.5 cm and h = 16.2 cm

c) d = 12 mm and h = 22 mm

d) r = 16 mm and h = 3.1 cm

Question No. 12

Calculate the area of a cone with the following measurements.

Answer :

a) r = 9 cm and s = 15 cm

b) r = 7 mm and ⟂ h = 24 mm

c) d = 10 cm and s = 26 cm

d) d = 16.8 cm and ⟂ h = 12.3 cm

Question No. 13

Calculate the area of the cone.

Answer :

a) 19 mm

b) 47 mm

Question No. 14

Calculate the area of the cylinder.

Answer :

a) 45 mm

b) 6 cm

Question No. 15

Calculate the total surface area of the shape provided.

Answer :

Question No. 16

Calculate the volume of a rectangular prism with the measurements given.

Answer :

a) breadth = 12 mm, height = 10 mm, length = 15 mm

b) breadth = 6.1 cm, height = 2.7 cm, length = 8.3 cm

c) breadth = 22 mm, height = 3.1 cm, length = 45 mm

d) breadth = 2 m, height = 150 cm, length = 75 cm

Question No. 17

Calculate the volume of a triangular prism with the measurements given.

Answer :

a) base = 32 mm, height = 20 mm, length = 16 mm

b) base = 4.1 cm, height = 4.5 cm, length = 6.2 cm

c) base = 83 mm, height = 6.1 cm, length = 58 mm

d) base = 1.2 m, height = 260 cm, length = 800 cm

Question No. 18

Calculate the volume of a square‐based pyramid with the measurements given.

Answer :

a) side of square = 32 mm, height = 30 mm

b) side of square = 60 mm, height = 40 mm

c) side of square = 10 cm, height = 12 cm

d) side of square = 14 cm, slant height = 25 cm

Question No. 19

Calculate the volume of the triangular prisms.

Answer :

a) ΔABC sides = 40 cm, 22 cm, 34 cm; length = 5 cm

b) ΔDEF sides = 9 cm, 6 cm

Question No. 20

Calculate the volume of the square‐based triangular prism with sides equal to 2 cm and height 3 cm.

Answer :

Question No. 21

Calculate the volume of the triangular prism and write the answer in cm³ correct to two decimal places.

Answer :

Question No. 22

Calculate the volume of the cuboids below.

Answer :

a) 315 mm × 216 mm × 98 mm

b) 1.3 m × 1.6 m × 0.8 m

Question No. 23

Calculate the height of the rectangular prism with volume 34.72 m³, length = 3.1 m and breadth = 7 m.

Answer :

Question No. 24

Determine the volume of the rectangular‐based triangular pyramid if the measurements are in metres.

Answer :

Question No. 25

The shape alongside consists of a triangular‐based pyramid on top of a triangular prism. The prism has height 42 cm and the pyramid has height 12 cm. Each side of the equilateral triangle base is 20 cm. Calculate the total volume of the solid.

Answer :

Question No. 26

Calculate the volume of a cylinder with the following measurements.

Answer :

a) r = 5 cm and h = 10 cm

b) r = 4.2 m and h = 11.6 m

c) d = 8 mm and h = 26 mm

d) d = 16.4 cm and h = 12.5 cm

Question No. 27

Calculate the volume of a cone with the following measurements.

Answer :

a) r = 7 mm and ⟂h = 24 mm

b) r = 12 cm and s = 15 cm

c) d = 20 mm and s = 26 mm

Question No. 28

Find the length of a cylinder with volume 190 cm³ and radius 5 cm. Write the answer correct to one decimal place.

Answer :

Question No. 29

Determine the volume of the cylinder.

Answer :

Question No. 30

Calculate the volume of the cone.

Answer :

a) 19 mm

b) 47 mm

Question No. 31

Find the volume of the shape below.

Answer :

a) 10 m

b) 12 m

c) 8 m

Question No. 32

Calculate the volume of the shape below.

Answer :

Question No. 33

Calculate the curved surface area of the frustrum of a cone with the following dimensions (all in cm).

Answer :

a) r = 3, R = 6, h = 8

b) r = 4, R = 6, h = 5

c) r = 2, R = 6, h = 9

Question No. 34

A cone has the top part cut off as shown in the diagram alongside. Calculate:

Answer :

a) the vertical height of the small cone on top

b) the curved surface area of the frustrum

Question No. 35

The top of a square-based pyramid is cut off. The base of the smaller pyramid has side length 3 cm and the vertical height of the frustrum is 6 cm. Calculate:

Answer :

a) the vertical height of the original pyramid

b) the total surface area of the original pyramid

c) the total surface area of the frustrum

Question No. 36

The square based frustrum of a pyramid has base side lengths 18 cm and top side lengths 9 cm. All sloping sides have length 14 cm. Calculate the surface area of the frustrum (excluding the base).

Answer :

Question No. 37

Calculate the curved surface area of the frustrum with r = 5 cm, R = 7.5 cm and vertical height of the frustrum = 15 cm.

Answer :

Question No. 38

Calculate the curved surface area of the frustrum with r = 4 cm, R = 10 cm and vertical height of the frustrum = 15 cm.

Answer :

Question No. 39

Calculate the volume of the frustrum (bottom part) of a cone with the following dimensions all measured in centimetres.

Answer :

a) r = 3, R = 6, h = 8

b) r = 4, R = 8, h = 5

c) r = 2, R = 10, h = 9

Question No. 40

The frustrum and the truncation of the same pyramid are shown. Calculate:

Answer :

a) the height of the frustrum

b) the volume of the small pyramid

c) the volume of the original pyramid

d) the volume of the truncated pyramid

Question No. 41

The top part of a cone is cut off. The radius of the top part is 4 cm and the radius of the base is 12 cm. The vertical height of the frustrum is 15 cm. Calculate:

Answer :

a) the vertical height of the top part of the cone

b) the volume of the top part of the cone

c) the volume of the frustrum

Question No. 42

Calculate the volume of the frustrum with r = 5 cm, R = 7.5 cm and vertical height of the frustrum = 15 cm.

Answer :

Question No. 43

Calculate the volume of the square-based frustrum of a pyramid with top side = 9 cm, base side = 18 cm and sloping side = 14 cm.

Answer :

Question No. 44

Calculate the volume required to make a bucket if the top radius is 30 cm and the bottom radius is 18 cm. The depth of the bucket is 16 cm.

Answer :

Question No. 45

The top of a cone is cut off and a cylindrical hole is cut out of the frustrum. Calculate:

Answer :

a) the perpendicular height of the cone on the top

b) the volume of the cone on top

c) the volume of the original cone

d) the volume of the frustrum

e) the volume of the cylindrical hole

f) the volume of the remaining truncated cone

Chapter

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