Mathematics
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.
Answer
Given:
Outer length of box = 65 cm
Outer width of box = 34 cm
Outer height of box = 25 cm
Volume of outer box = l x b x h
= 65 x 34 x 25 cm3
= 55,250 cm3
Thickness of wood = 2 cm
Internal length of box = 65 - 2 - 2 cm = 65 - 4 cm = 61 cm
Internal width of box = 34 - 2 - 2 cm = 34 - 4 cm = 30 cm
Internal height of box = 25 - 2 cm = 23 cm
Volume of internal box = l x b x h
= 61 x 30 x 23 cm3
= 42,090 cm3
Volume of wood = Volume of outer box - Volume of internal box
= 55,250 - 42,090 cm3
= 13,160 cm3
Hence, the capacity of the box is 42,090 cm3 and the volume of wood used is 13,160 cm3.
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