How many soap cakes each measuring 7 cm × 5 cm × 2.5 cm

Question:

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?

Solution:

Volume of a soap cake $=7 \times 5 \times 2.5=87.5 \mathrm{~cm}^{3}$

Volume of the box $=56 \times 40 \times 25=56000 \mathrm{~cm}^{3}$

No. of soap cakes $=\frac{56000}{87.5}=640$ units

$\therefore 640$ cakes of soap can be placed in a box of the given size.

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