A closed box is made of 2 cm thick wood with an external dimension 84 cm × 75 cm × 64 cm. Find the volume of the wood required to make the box.
Given,
The thickness of the wood used in a closed box = 2 cm
External length of box (L) = 84 cm
Breadth (b) = 75 cm and height (h) = 64 cm
So, internal length (l) = 84 – (2 × 2)
= 84 – 4
= 80 cm
Breadth (b) = 75 – (2 × 2)
= 75 – 4
= 71 cm
and height (h) = 64 – (2 × 2)
= 64 – 4
= 60 cm
Hence, Volume of wood used = 84 × 75 × 64 – 80 × 71 × 60 cm3
= 403200 – 340800 cm3
= 62400 cm3
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