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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.
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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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