Page 174 - Math Skill - 5

172 Maths

Volume of a Cuboid
Let us consider a cuboid of length = 4 cm, breadth = 3 cm and height = 5 cm.

The volume of this cuboid = Length × Breadth × Height
= 4 cm × 3 cm × 5 cm 5 cm

= 60 cubic cm

Volume of a Cube 4 cm 3 cm

A cube is a special type of cuboid whose length, breadth and height are equal.
Let us consider a cube of edge length 1 cm.
The volume of this cube = length × breadth × height

Here, Length = Breadth = Height = 1 cm 1 cm

Volume = 1 cm × 1 cm × 1 cm
= 1 cubic cm 1 cm 1 cm

Fact-o-meter
� Volume of cuboid = length × breadth × height
� Volume of cube = length × length × length or side × side × side
� The measurement of length, breadth and height should be in the same unit to find the volume.

Let’s Attempt

Example 1: The length, breadth and height of a cuboid are 13 cm, 6 cm and 3.5 cm respectively.
Find its volume.
Solution: Length = 13 cm, Breadth = 6 cm, Height = 3.5 cm

Volume = length × breadth × height

= 13 cm × 6 cm × 3.5 cm = 273 cubic cm
Hence, the volume of the cuboid is 273 cubic cm.

Example 2: Find the volume of a cube whose each side measures 7 cm.
Solution: Length of each side = 7 cm

Volume of the cube = side × side × side

= 7 cm × 7 cm × 7 cm = 343 cubic cm
Hence, the volume of cube is 343 cubic cm.

Example 3: How many boxes each of size 10 cm × 8 cm × 5 cm can be packed in a carton of size

1 m × 72 cm × 50 cm?
Solution: Volume of one box = 10 cm × 8 cm × 5 cm = (10 × 8 × 5) cubic cm

Volume of carton = 1 m × 72 cm × 50 cm = (100 × 72 × 50) cubic cm