How many soap cakes each measuring 7 cm × 5 cm × 2.5 cm can be placed in a box of size 56 cm × 40 cm × 25 cm?

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Solution

Volume of a soap cake $= 7 \times 5 \times 2.5 = 87.5 c m^{3}$
Volume of the box $= 56 \times 40 \times 25 = 56000 c m^{3}$

No. of soap cakes $= \frac{56000}{87.5} = 640 u n i t s$

∴ 640 cakes of soap can be placed in a box of the given size.

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