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Question
The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.
Solution
External length = 65 cm
External breath = 34 cm
External height = 25 cm
Volume = l × b × h
= 65 × 34 × 25
= 55,250 cm3
Thickness = 2 cm
Internal length = 65 − 4 = 61 cm
Internal breath = 34 − 4 = 30 cm
Internal height = 25 − 2 = 23 cm
Capacity of the box (V) = 61 × 30 × 23
= 42,090 cm3
The volume of wood used to make the box = Vext − Vint
= 65 × 34 × 25 cm3 − 61 × 30 × 23 cm3
= 55,250 − 42,090
= 13,160 cm3
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