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Worksheets

Exploring 3D Shapes and Their Properties

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

What is the volume of a cube with a side length of 4 cm?

a)

32 cm³

b)

64 cm³

c)

80 cm³

d)

48 cm³

2.

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

a)

75 cm³

b)

50 cm³

c)

100 cm³

d)

Approximately 141.3 cm³

3.

Compare a sphere and a cube. Which has a larger surface area if both have the same volume?

a)

The sphere has a larger surface area than the cube if both have the same volume.

b)

Both the sphere and the cube have the same surface area if they have the same volume.

c)

The cube has a larger surface area than the sphere if both have the same volume.

d)

The surface area of the sphere is always larger than that of the cube.

4.

A rectangular prism has dimensions of 2 m, 3 m, and 4 m. What is its volume?

a)

12 cubic meters

b)

20 cubic meters

c)

30 cubic meters

d)

24 cubic meters

5.

How many edges does a triangular prism have?

a)

6

b)

8

c)

9

d)

12

6.

If the radius of a cone is doubled, how does its volume change?

a)

The volume increases by a factor of 4.

b)

The volume increases by a factor of 3.

c)

The volume decreases by a factor of 2.

d)

The volume remains the same.

7.

What is the surface area of a cylinder with a radius of 2 cm and a height of 10 cm?

a)

200 cm²

b)

75.36 cm²

c)

150.72 cm²

d)

100 cm²

8.

A sphere has a radius of 6 cm. What is its volume?

a)

216π cm³

b)

72π cm³

c)

288π cm³

d)

144π cm³

9.

If a cube has a volume of 27 cm³, what is the length of one side?

a)

5 cm

b)

2 cm

c)

3 cm

d)

4 cm

10.

What is the formula for the volume of a rectangular prism?

a)

V = length × width × height

b)

V = width × height

c)

V = length + width + height

d)

V = length × height

11.

How do you find the surface area of a sphere?

a)

Surface Area = 6 * π * r²

b)

Surface Area = 4 * π * r²

c)

Surface Area = π * r²

d)

Surface Area = 2 * π * r

12.

If a cone has a height of 9 cm and a radius of 3 cm, what is its volume?

a)

36π cm³

b)

9π cm³

c)

18π cm³

d)

27π cm³

13.

Compare the volume of a cube with a side length of 5 cm to a cylinder with a radius of 2 cm and height of 10 cm. Which is larger?

a)

The cylinder is larger.

b)

The cube is larger.

c)

Both have the same volume.

d)

The cylinder has a smaller volume.

14.

What is the volume of a pyramid with a base area of 20 cm² and a height of 6 cm?

a)

40 cm³

b)

10 cm³

c)

50 cm³

d)

30 cm³

15.

If a cylinder and a cone have the same base radius and height, how do their volumes compare?

a)

The volumes of the cylinder and cone are equal.

b)

The volume of the cylinder is twice the volume of the cone.

c)

The volume of the cylinder is three times the volume of the cone.

d)

The volume of the cone is three times the volume of the cylinder.

16.

What is the surface area of a cube with a side length of 3 cm?

a)

36 cm²

b)

54 cm²

c)

12 cm²

d)

27 cm²