# Class 5 Mathematics | How Big – How Heavy | Expected Questions

**CLASS 5 MATHEMATICS – Practice problems for How Big – How Heavy?**

Fill in the blanks:

1. The amount of space occupied by an object is called ——————

2. 1 litre = ———- milliliters

3. 3 litre 80 ml is expressed as——————–

4. Unit of volume is —————

5. A three dimensional shape that has six faces —————–

Answer the following

6. A match-box measures 10 cm x 6 cm x 4 cm. Find its volume?

7. Find the volume of a cube of edge 4 cm?

8. The length of the side of a cube is 3 cm and length of the sides of a cuboid are 3 cm, 4 cm and 5 cm. Find the volume of cube and cuboid? Which one has more volume?

9. Find the volume of a cuboid of sides 10 cm, 15 cm and 20 cm?

10. A brick is 18 cm long, 12 cm wide and 10 cm high. Find the space occupied by 100 such bricks?

11. A 2 rupee coin weighs 9 g. What is the weight of such 500 coins?

12. A water tank is 10m long, 6 m wide and 8m deep. How many cubic metre of water can it hold?

13. Find the volume of a cuboid of lengths 5 cm, 6 cm and 8 cm.

14. If the volume of a cube is 125 cubic cm, find the length of one side?

15. If the capacity of a bottle is 24.25 litres, what is the capacity of 5 such bottles?

### Answers:

1. Volume

2.1000 milliliters

3. 3.080 liters

4. Cubic centimeter

5. Cube or Cuboid

6. Length = 10 cm, Breadth = 6 cm and Height = 4 cm (given)

Volume = l x b x h = 10 x 6 x 4 = 240 cubic cm.

7. Volume of a cube of edge 4 cm = 4 x 4 x 4 = 64 cubic cm.

8. Volume of the cube of side 3 cm = 3 x 3 x 3 = 27 cubic cm.

Volume of cuboid = l x b x h = 3 x 4 x 5 = 60 cubic cm.

Therefore, Cuboid has more volume.

9. Volume of a cuboid = l x b x h = 10 x 15 x 20 = 3000 cubic cm

10. Volume = l x b x h = 18 x 12 x 10 = 2160 cubic cm

Space occupied by 100 such bricks = 2160 x 100 = 216000.

11. Weight of a 2 rupee coin = 9g

Weight of 500 such coins = 500 x 9 = 4500 g = 4kg 500g

12. Here we need to find the volume.

Volume = l x b x h

Here length = 10m, width = 6m and depth = 8m (given)

Volume = 10 x 6 x 8 = 480 cubic metre.

13. Volume of a cuboid = l x b x h = 5 x 6 x 8 = 240 cubic cm.

14. Volume of a cube = 125 cubic cm (given)

Length of one side = cube root of 125 = 5 cm.

15. Capacity of a bottle = volume = 24.25 litres (given)

Capacity of 5 such bottles = 24.25 x 5 = 121.25litres.