Worksheet: Volume of a Rectangular Prism
In this worksheet, we will practice calculating the volume of a rectangular prism given the lengths of its 3 dimensions to solve problems including real-life situations.
Q5:
If a cuboid has a height of 15 cm and a base with area 760 cm2, what is its volume?
Q6:
Determine the volume of a container that is 9 units long, 7 units wide, and 4 units high.
Q7:
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?
Q9:
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
- C 924 cm2
Q10:
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.
Q12:
Cuboid has dimensions of 56 cm, 40 cm, and 34 cm. Cuboid has a base area of 2 904 cm2 and a height of 36 cm. Which cuboid is greater in volume?
- A Cuboid
- B Cuboid
Q13:
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.
Q14:
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
- B 20 304 m3
- C 6.768 m3
- D 60.912 m3
Q15:
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?
Q16:
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
Q17:
Complete the formula for the height of a cuboid: .
- Avolume of cuboid, length
- Bbase area, volume of cuboid
- Cwidth, volume of cuboid
- Dvolume of cuboid, base area
Q18:
Complete the formula for the base area of a cuboid: .
- Avolume of cuboid, length
- Bheight, volume of cuboid
- Cwidth, volume of cuboid
- Dvolume of cuboid, height
Q19:
Find the height of a cuboid which has a volume of 1 152 cm3 and a base area of 128 cm2.
Q20:
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.
- A width: 384 cm, height: 16 cm
- B width: 16 cm, height: 24 cm
- C width: 16 cm, height: 384 cm
- Dwidth: 24 cm, height: 16 cm
Q21:
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: 10.86 cm. Volume to add: 1 372.18 cm3
- BHeight of water: 14 cm. Volume to add: 3 059 cm3
- CHeight of water: 13.14 cm. Volume to add: 375.82 cm3
- DHeight of water: 8 cm. Volume to add: 2 622 cm3
Q22:
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.
Q23:
A cuboid-shaped container has a square base with side lengths of 20 cm. If 2 litres of water are poured into the container, determine the height the water would reach.
Q24:
Find the dimensions of the box described: the length is 3 inches longer than the width, the width is 2 inches longer than the height, and the volume is 120 cubic inches.
- A 5 in by 10 in by 15 in
- B 5 in by 7 in by 8 in
- C 4 in by 6 in by 9 in
- D 3 in by 5 in by 8 in
- E 6 in by 8 in by 9 in
Q25:
Find the dimensions of a box with a length three times its height, a height one inch less than its width, and a volume of 108 cubic inches.
- A 2 in by 3 in by 6 in
- B 3 in by 4 in by 6 in
- C 3 in by 4 in by 5 in
- D 3 in by 4 in by 9 in
- E 4 in by 5 in by 12 in