# 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.

Q1:

Complete the formula for the volume of a cuboid: .

• Aheight, base area, length
• Bbase area, width, height
• Clength, width, base area
• Dlength, width, height

Q2:

Olympic gold medal winner Ian Thorp competes in a pool with required dimensions 25 by 50 by 2 meters. What is the volume of the Olympic-sized pool?

Q3:

Which of these is equal to the volume of a cuboid?

• Aheight base area
• Bheight perimeter of the base
• Cwidth base area
• Dlength width height

Q4:

If a cuboid has a height of 15 cm and a base with area 760 cm2, 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?

Q7:

A rectangular-prism-shaped swimming pool has a base of dimensions 67 m and 32 m and a height of 3 m. Water fills the pool up to a height of 27 cm from the brim of the pool. Find the volume of the water in cubic meters.

Q8:

Find the area of the base of a cuboid which has a volume of 15,708 cm3 and a height of 17 cm.

• A cm2
• B 267,036 cm2
• C924 cm2

Q9:

Find the length of a cuboid which has a volume of 10,868 cm3, a width of 11 cm, and a height of 19 cm.

Q10:

Given that the volume of the smaller cube is 8 cubic feet, determine the volume of the larger cube.

Q11:

Cuboid B has dimensions of 56 cm, 40 cm, and 34 cm. Cuboid B has a base area of 2,904 cm2 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 cm2. 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 m3
• B60.912 m3
• C6.768 m3
• D 20,304 m3

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 cm3 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 cm3 and a base area of 128 cm2.

Q19:

Find the width and the height of a cuboid whose volume is 15,360 cm3, length is 40 cm, and base area is 960 cm2.

• 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 cm3 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 cm3
• BHeight of water: 8 cm. Volume to add: 2,622 cm3
• CHeight of water: 13.14 cm. Volume to add: 375.82 cm3
• DHeight of water: 10.86 cm. Volume to add: 1,372.18 cm3

Q21:

A cuboid-shaped swimming pool has a base of length 64 m and a width of 56 m. If 28,672 m3 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 cm3
• B512 cm3
• C171 cm3
• D192 cm3

Q24:

Determine the height of a cuboid whose volume is 28,800 cm3, length is 60 cm, and width is 30 cm.

Q25:

The fish tank is being filled with water for the town aquarium. It has a length of 6 feet, a width of 3 feet, and a height of 4 feet. The tank will be filled with 54 cubic feet of water. How high will the water level be?