Quiz about Learning About Volume

Question 1

Choose the correct formula to find the volume of the figure.

Accepted Answer

$$V\ =\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{1}{3}\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ $$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ \div\ 2$$

Question 2

Choose the correct formula to find the volume of the figure.

Accepted Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ $$

Answer

$$V\ =\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{1}{3}\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ \div\ 2$$

Question 3

Choose the correct formula to find the volume of the figure.

Accepted Answer

$$V\ =\frac{1}{3}\ \pi\ r^2\ h$$

Answer

$$V\ =\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ $$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ \div\ 2$$

Question 4

Choose the correct formula to find the volume of the figure.

Accepted Answer

$$V\ =\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{1}{3}\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ $$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ \div\ 2$$

Question 5

Which of the following statements is true about the volume of shapes?

Accepted Answer

Volume is the amount of space inside a 3D shape.

Answer

Volume is measured in square units.

Answer

Volume can only be calculated for cubes.

Answer

Volume is the same as area.

Question 6

A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. What is the volume of the swimming pool in cubic meters?

Accepted Answer

500 m $$^3$$

Answer

50 m $$^3$$

Answer

250 m $$^3$$

Answer

200 m $$^3$$

Question 7

If the volume of a rectangular box is 120 cm $$^3$$ and the length and width are 10 cm and 4 cm respectively, what is the height of the box?

Accepted Answer

3 cm

Answer

30 cm

Answer

12 cm

Answer

0.3 cm

Question 8

What is the volume of a cube that has sides of length 5 cm?

Accepted Answer

125 cm $$^3$$

Answer

25 cm $$^3$$

Answer

75 cm $$^3$$

Answer

15 cm $$^3$$

Question 9

What is the volume of a rectangular prism with length 8 cm, width 5 cm, and height 2 cm?

Accepted Answer

80 cm $$^3$$

Answer

40 cm $$^3$$

Answer

20 cm $$^3$$

Answer

160 cm $$^3$$

Question 10

What is the volume of a pyramid with a rectangular base that is 8 cm by 5 cm and has a height of 10 cm?

Accepted Answer

$$133.33 \, ext{cm}^3$$

Answer

$$266.67 \, ext{cm}^3$$

Answer

$$400 \, ext{cm}^3$$

Answer

$$160 \, ext{cm}^3$$

Question 11

A company is shipping boxes that are all perfect cubes with a side length of 4 feet. What is the volume of each box?

Accepted Answer

64 ft $$^3$$

Answer

48 ft $$^3$$

Answer

16 ft $$^3$$

Answer

12 ft $$^3$$

Question 12

A cone has a volume of $$1,000 \, ext{cm}^3$$ and a height of 15 cm. What is the radius of its base?

Accepted Answer

$$8.38 \, ext{cm}$$

Answer

$$7.24 \, ext{cm}$$

Answer

$$9.52 \, ext{cm}$$

Answer

$$6.11 \, ext{cm}$$

Question 13

A cargo container is in the shape of a rectangular prism. If the container's dimensions are 12 meters by 3 meters by 2.5 meters, what is the volume of the container?

Accepted Answer

90 m $$^3$$

Answer

30 m $$^3$$

Answer

72 m $$^3$$

Answer

120 m $$^3$$

Question 14

If a cube has a volume of $$343 \, ext{cm}^3$$ , what is the length of one of its sides?

Accepted Answer

$$7 \, ext{cm}$$

Answer

$$9 \, ext{cm}$$

Answer

$$11 \, ext{cm}$$

Answer

$$13 \, ext{cm}$$

Question 15

Which of the following is the correct formula to calculate the volume of a rectangular prism?

Accepted Answer

Length $$ imes$$ Width $$ imes$$ Height

Answer

Length + Width + Height

Answer

2(Length + Width + Height)

Answer

Length / Width / Height

Question 16

Find the volume of a square pyramid with a base side length of 6 cm and a height of 9 cm.

Accepted Answer

$$108 \, ext{cm}^3$$

Answer

$$324 \, ext{cm}^3$$

Answer

$$72 \, ext{cm}^3$$

Answer

$$216 \, ext{cm}^3$$

Question 17

To fill a rectangular fish tank, 720 liters of water are needed. If the tank is 1.2 meters long and 0.6 meters wide, how deep is the tank?

Accepted Answer

1 meter

Answer

1.5 meters

Answer

1.2 meters

Answer

1.0 meters

Question 18

A rectangular prism has a volume of 198 cm $$^3$$ . If its length is 11 cm and its width is 3 cm, what is its height?

Accepted Answer

6 cm

Answer

18 cm

Answer

9 cm

Answer

3 cm

Question 19

Choose the correct formula to find the volume of the figure.

Accepted Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ \div\ 2$$

Answer

$$V\ =\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{1}{3}\ \pi\ r^2\ h$$

Answer

$$V\ =\frac{4}{3}\ \pi\ r^3\ $$

Learning About Volume

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