Question

Choose the correct answer from the alternatives given :
A soap cake is of size 8 cm x 5 cm x 4 cm. The number of such soap cakes that can be packed in a box meas 56 cm x 35 cm x 28 cm is

• A. $49$
• B. $196$
• C. $243$
• D. $343$

Answer 1

The correct option is D $343$

Volume of the box = $(56\times 35\times 28)c{m}^3$.
Volume of a soap cake = $(8\times 5\times 4)c{m}^3$.
We know that,
Number of soap = $\frac{volumeofbox}{volumeofsoapcake}$
Number of soap = $\frac{56\times 35\times 28}{8\times 5\times 4}$ = 343
Hence, the number of soaps = $343$