Page 241 - MathGPT_V1.0_C5

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Example 2: Find the length of a box of volume 120 cu. cm with height 5 cm and breadth
4 cm.

Solution: A box is an example of a cuboid.
Since,

Volume of a cuboid = Length × Breadth × Height Remember
Volume To find the unknown
Length =
Breadth × Height side, divide the volume

120 120 by the product of the
= = = 6 other known sides.
4 × 5 20

Thus, the length of the box is 6 cm.

VOLUME OF A CUBE

Look at the cube shown alongside. Its each side is 3 cm long. This cube is divided into 27
unit cubes of 1 cm each.
So, the volume of the cube = 27 unit cubes

= 27 cu. cm
3 cm
We observe that the product of its sides,
27 = 3 × 3 × 3 3 cm 3 cm

Thus, volume of a cube = Side × Side × Side cubic units

Example 1: The side of a cube is 25 m. Find its volume. 25 m
Solution: We have, volume of cube = side × side × side

Volume of cube = 25 m × 25 m × 25 m 25 m
= 15625 cu. m 25 m

Example 2: How many ice cubes of edge 2 cm can fit into an ice tray of measure 3 cm ×
4 cm × 6 cm?

Solution: Volume of the ice tray = 3 × 4 × 6
(Since, Volume of a cuboid = Length × Breadth × Height)

= 72 cu. cm
The side of an ice cube = 2 cm
The volume of an ice cube = 2 × 2 × 2

(Since, volume of a cube = side × side × side)
= 8 cu. cm
Volume of the ice tray 72
Number of ice cubes = = = 9
Volume of an ice cube 8
Thus, 9 ice cubes can fit in the ice tray.

Mathematics-5 239