1.

A wooden box (including the lid) hasexternal dimensions 40 cm by 34 cm by30 cm. If the wood is 1 cm thick, then howmany cm^3 of wood is used in it?

Answer»

Given:

Outer length(L) = 40cm Outer breadth(B) = 34cmOuter height(H) = 30 cm

Thickness= 1 cm

Volume of the box= L× B×H

Outer volume of the box = 40 cm × 34 cm × 30 cm

Outer volume of the box = 40800 cm³

Thickness = 1 cm

Inner length (l)= 40 cm -(2×1)=40-2 = 38 cmInner breadth (b)= 34 cm - (2×1)= 32 cmInner height(h) = 30 cm -(2× 1)= 28 cm

Inner volume of the box = 38 cm × 32cm × 28 cm

Inner volume of the box = 34048 cm³

Volume of wood =outer volume of box - Inner volume of box

= 40800 -34048 = 6752 cm³

Hence, the volume of wood = 6752 cm³

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