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In this lesson, we will learn how to calculate the volume of a rectangular prism given the lengths of its 3 dimensions to solve problems including real-life situations.
Complete the formula for the volume of a cuboid:
Find the volume of the cuboid.
Olympic gold medal winner Ian Thorp competes in a pool with required dimensions 25 by 50 by 2 metres.
What is the volume of the Olympic-sized pool?
Which of these is equal to the volume of a cuboid?
If a cuboid has a height of 15 cm and
a base with area 760 cm2,
what is its volume?
Determine the volume of a container that is 9 units long, 7 units wide, and 4 units high.
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?
A cuboid-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 metres.
Find the area of the base of a cuboid which has a volume of 15 708 cm3 and a height of 17 cm.
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.
Given that the volume of the smaller cube is 8 cubic feet, determine the volume of the larger cube.
has dimensions of 56 cm,
40 cm, and 34 cm.
has a base area of 2 904 cm2 and a height of 36 cm. Which
cuboid is greater in volume?
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
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 tank is a cuboid with dimensions 50 m,
and 19 m.
What is the volume of water necessary to fill one third of the tank?
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?
Complete the formula for the height of a cuboid:
Complete the formula for the base area of a cuboid:
Find the height of a cuboid which has a volume of 1 152 cm3 and a base area of 128 cm2.
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.
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.
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.
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.
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.
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.
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