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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.
Q1:
Complete the formula for the volume of a cuboid: × × .
Q2:
Find the volume of the cuboid.
Q3:
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?
Q4:
Which of these is equal to the volume of a cuboid?
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?
Q8:
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.
Q9:
Find the area of the base of a cuboid which has a volume of 15 708 cm3 and a height of 17 cm.
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.
Q11:
Given that the volume of the smaller cube is 8 cubic feet, determine the volume of the larger cube.
Q12:
Cuboid 𝐴 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?
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.
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?
Q17:
Complete the formula for the height of a cuboid: ÷ .
Q18:
Complete the formula for the base area of a cuboid: ÷ .
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.
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.
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.
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.
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