FIND THE VOLUME OF WOOD USED TO MAKE A CLOSED RECTANGULAR BOX OF OUTER DIMENSIONS 60 CM X 45 CM X 32 CM,THICKNESS OF WOOD BEING 2.5 CM ALL AROUND. ALSO FIND THE CAPACITY OF BOX.
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External volume of the box = 60 cm X 45 cm X 32 cm = 86, 400 cm³
Internal volume of the box ie., inside box dimensions:
(60 - 2 * 2.5 cm) X (45 - 2 * 2.5 cm) X (32 - 2 * 2.5 cm)
= 55 cm X 40 cm X 27 cm
= 59, 400 cm³
This is the capacity of the box.
Volume of the wood used to make the box
= 86,400 - 59, 400 = 27, 000 cm³
Internal volume of the box ie., inside box dimensions:
(60 - 2 * 2.5 cm) X (45 - 2 * 2.5 cm) X (32 - 2 * 2.5 cm)
= 55 cm X 40 cm X 27 cm
= 59, 400 cm³
This is the capacity of the box.
Volume of the wood used to make the box
= 86,400 - 59, 400 = 27, 000 cm³
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