# Worksheet: Volumes of Rectangular Prisms and Cubes

In this worksheet, we will practice calculating volumes of rectangular prisms and cubes given their dimensions and solving problems including real-life situations.

**Q4: **

If a cuboid has a height of 15 cm and
a base with area 760 cm^{2},
what is its volume?

**Q5: **

Determine the volume of a container that is 9 units long, 7 units wide, and 4 units high.

**Q6: **

A carton of juice is a cuboid with height 12 cm. Its base is a square with side length 5 cm. What is the volume of juice that will fill the carton?

**Q8: **

Find the area of the base of a cuboid which has a volume of 15,708 cm^{3} and a height of 17 cm.

- A
cm
^{2} - B
267,036 cm
^{2} - C924 cm
^{2}

**Q9: **

Find the length of a cuboid which has a volume of 10,868 cm^{3},
a width of 11 cm,
and a height of 19 cm.

**Q11: **

Cuboid B has dimensions of 56 cm,
40 cm, and 34 cm.
Cuboid B has a base area of 2,904 cm^{2} and a height of 36 cm. Which
cuboid is greater in volume?

- ACuboid B
- BCuboid A

**Q12: **

A cuboid has dimensions of 9 cm, 20 cm, and 7 cm. A second cuboid has a
height of 16 cm and a base with area 60 cm^{2}. Find the difference between the volumes of the two
cuboids.

**Q13: **

A construction worker used 3,000 bricks to build a wall. The bricks had a length of 47 cm, a width of 27 cm, and a height of 16 cm. Calculate, in cubic metres, the total volume of the bricks used.

- A
60,912,000 m
^{3} - B60.912 m
^{3} - C6.768 m
^{3} - D
20,304 m
^{3}

**Q14: **

A tank is a cuboid with dimensions 50 m, 24 m, and 19 m. What is the volume of water necessary to fill one third of the tank?

**Q15: **

A man needs to store 16,170 cm^{3} of rice in a container.
He has one box which is a cuboid with dimensions of 35 cm, 22 cm,
and 21 cm and another box which is a cube with length 22 cm. Which box should he use?

- Athe cuboid
- Bthe cube

**Q16: **

Complete the formula for the height of a cuboid: .

- Abase area, volume of cuboid
- Bvolume of cuboid, length
- Cvolume of cuboid, base area
- Dwidth, volume of cuboid

**Q17: **

Complete the formula for the base area of a cuboid: .

- Awidth, volume of cuboid
- Bvolume of cuboid, height
- Cheight, volume of cuboid
- Dvolume of cuboid, length

**Q18: **

Find the height of a cuboid which has a volume of 1,152 cm^{3} and a base area of 128 cm^{2}.

**Q19: **

Find the width and the height of a cuboid whose volume is 15,360 cm^{3}, length is 40 cm, and base area is 960 cm^{2}.

- Awidth: 16 cm, height: 384 cm
- Bwidth: 24 cm, height: 16 cm
- Cwidth: 16 cm, height: 24 cm
- Dwidth: 384 cm, height: 16 cm

**Q20: **

The tank shown contains 3,496 cm^{3} of water.
Find the current height of the water in the tank, and calculate the volume of water that needs to be added to fill the tank.

- AHeight of water: 14 cm. Volume to add: 3,059 cm
^{3} - BHeight of water: 8 cm. Volume to add: 2,622 cm
^{3} - CHeight of water: 13.14 cm. Volume to add: 375.82
cm
^{3} - DHeight of water: 10.86 cm. Volume to add: 1,372.18 cm
^{3}

**Q21: **

A cuboid-shaped swimming pool has a base of length 64 m and a width of 56 m. If 28,672 m^{3} of water fills it completely, determine its depth.

**Q22: **

A rectangular prism-shaped container has a square base with side lengths of 20 cm. If 2 liters of water are poured into the container, determine the height the water will reach.

**Q23: **

The height of a square-based cuboid is 6 cm. Given that its total edge length is 88 cm, find its volume.

- A384 cm
^{3} - B512 cm
^{3} - C171 cm
^{3} - D192 cm
^{3}

**Q24: **

Determine the height of a cuboid whose volume is 28,800 cm^{3},
length is 60 cm, and width is 30 cm.