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Worksheet: Finding the Volume of a Rectangular Prism
Q7:
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
Q8:
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.
Q9:
Determine the volume of a container that is 9 units long, 7 units wide, and 4 units high.
Q10:
If a cuboid has a height of 15 cm and a base with area 760 cm2, what is its volume?
Q11:
A tank is a rectangular prism with dimensions 50 m, 24 m, and 19 m. What is the volume of water necessary to fill one third of the tank?
- A 950 m3
- B 93 m3
- C 456 m3
- D
7 600m3
Q12:
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.
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
- B 20 304 m3
- C 6.768 m3
- D 60.912 m3
Q14:
A construction worker used 1 500 bricks to build a wall. The bricks had a length of 44 cm, a width of 13 cm, and a height of 26 cm. Calculate, in cubic metres, the total volume of the bricks used.
- A 22 308 000 m3
- B 14 872 m3
- C 9.915 m3
- D 22.308 m3
Q15:
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.
Q16:
A cuboid-shaped swimming pool has a base of length 70 m and a width of 43 m. If 24 080 m3 of water fills it completely, determine its depth.
Q17:
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?
Q18:
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.
Q19:
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
Q20:
Rectangular prism has dimensions of 56 cm, 40 cm, and 34 cm. Rectangular prism has a base area of 2 904 cm2 and a height of 36 cm. Which rectangular prism is greater in volume?
- A Rectangular prism
- B Rectangular prism
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
Q23:
Find the height of a cuboid which has a volume of 1 152 cm3 and a base area of 128 cm2.
Q24:
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
Q25:
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