Volume Quiz

Cubes and Cuboids

Volume of cube = Length Length Length

Length =

Volume of cuboid = Length Breadth Height

3 Volume

Question 1

The volume of a cube is 4913 cm3. Find the length of one edge.

Question 2

The volume of a rectangular box is 960 cm3. The area of its base is 120 cm2.Find the height of the box.

Question 3The volume of a ream of paper is 18216 cm3. The area of the shaded face is 552 cm2.Find the length of the ream of paper.

?

Question 4The volume of a cuboid is 1008 cm3. Its height is 7 cm.It has a square base.Find the length of the square face.

Question 5A rectangular container is 30 cm long and 20 cm wide. It contains 4.5 litres of water. Find the height of the water level in the container.(1 litre = 1000 cm3)

Question 6A rectangular container is 25 cm long and 20 cm wide. The height of the water level in the container is 5 cm. 2 litres of water is then poured into the container.What is the height of the water level now? (1 litre = 1000 cm3)

Question 7A rectangular container is 43 cm long and 29 cm wide. The height of the water level in the container is 23 cm. After 6235 cm3 of water is removed from the container, what is the height of the water level? (1 litre = 1000 cm3)

Question 8A rectangular container is 80 cm long and 50 cm wide. It contains 160 litres of water when it is full.Find the height of the tank. (1 litre = 1000 cm3)

3

2

Question 9A rectangular container is 90 cm long and 60 cm wide is filled with water. When 108 litres of water is poured into the tank, the water level rises to the brim of the tank.Find the height of the tank.(1 litre = 1000 cm3)

5

3

Question 10A rectangular Container A is completely filled with water. All the water in Container A poured into an empty rectangular Container B.What is the height of the water level in Container B?

8 cm5 cm

6 cm

12 cm4 cm

? A B

Question 11An empty rectangular tank is 25 cm long and 21 cm wide. Bala pours 27 cups of water into the tank. Each cup contains 350 cm3 of water.What is the height of the water level in the tank?

25 cm21 cm

?

Question 12A rectangular tank is 8 cm wide. It contains 2 litres of water and 3 litres of oil.The height of the water level in the tank is 10 cm. Find the height of the oil level.

8 cm

10 cm

?

Question 13A rectangular tank measures 60 cm by 50 cm by 40 cm. It is filled with water to its brim. The water is then drained at a rate of 8 litres per minute.How long will it take to empty the tank?

Question 14An empty rectangular tank is 80 cm long and 50 cm wide. It is filled being filled with water flowing from atap at a rate of 12 litres per minute. It takes 16 minutes to fill the tank to the brim.Find the height of the tank.

Question 15A rectangular tank measures 48 cm long, 37 cm wide and 19 cm high.It is filled with 8.88 litres of water.What is the water level, measured from the top of the tank?

48 cm37 cm

?

19 cm

Question 16Container A is a rectangular container measuring 12 cm long by 10 cm by 6 cm. It is filled with water.Container B is an empty cubical container of side 6 cm. Water in Container A is then used to fill Container B to its brim. Find the height of the water level left in Container A.

12 cm10 cm

6 cm

3

2

6 cm

6 cm

6 cm

Answers

1) 17 cm

2) 8 cm

3) 33 cm

4) 12 cm

5) 7.5 cm

6) 9 cm

7) 18 cm

8) 60 cm

9) 50 cm

10) 5 cm

11) 18 cm

12) 15 cm

13) 15 min

14) 48 cm

15) 14 cm

16) 2.2 cm