Mathematics
Find the volume of wood required to make a closed box of external dimensions 80 cm, 75 cm and 60 cm, the thickness of walls of the box being 2 cm throughout.
Surface Area, Volume, Capacity
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Answer
Given:
Outer length of the box = 80 cm
Outer width of the box = 75 cm
Outer height of the box = 60 cm
Volume of box = l x b x h
= 80 x 75 x 60 cm3
= 360,000 cm3
Thickness of wood = 2 cm
Internal length = 80 - 2 - 2 cm = 80 - 4 cm = 76 cm
Internal width = 75 - 2 - 2 cm = 75 - 4 cm = 71 cm
Internal height = 60 - 2 - 2 cm = 60 - 4 cm = 56 cm
Volume of internal box = l x b x h
= 76 x 71 x 56 cm3
= 302,176 cm3
Volume of wood required = 360,000 - 302,176 cm3
= 57,824 cm3
Hence, the volume of wood required is 57,824 cm3.
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