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Question
A closed box is made of wood 5 mm thick. The external length, breadth and height of the box are 21 cm, 13 cm and 11 cm respectively. Find the volume of the wood used in making the box.
Solution
Thickness of the closed box
= 5mm
= 0.5cm
External Dimensions are:
length = 21cm
breadth = 13cm
height = 11cm
Internal dimensions = External dimensions - 2(thickness)
∴ Internal Dimensions are:
length = 20cm
breadth = 12cm
height = 10cm
Volume ofthe wood used in making the box
= Volume of External cuboid - Volume of internal cuboid
= (21 x 13 x 11) - (20 x 12 x 10)
= 3003 - 2400
= 603cm3
Hence, the volume of wood used in making the box is 603cm3.
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