Find the volume of the wood used to make a closed rectangular box of outer dimensions 60cm X 45cm X 32cm, the thickness of wood being 2.5 all around. Also find the capacity of the box.
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Answer:
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
Step-by-step explanation:
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