Question

A cubical container of volume $1$ cubic foot can have $n$ number of boxes of dimesion $2$ inches by $3$ inches by $4$ inches, then the value of $n$ is

• A. $72$
• B. $27$
• C. $12$
• D. $86$

Answer 1

Answer: (A)

$72$

Number of boxes the cubical container can accommodate $=$ Volume of the container/Volume of each box

Volume of container $=$ $1$ cubic foot $=$ $12\times 12\times 12$ cubic inches

$\therefore$ number of boxes $=\frac{12\times 12\times 12}{2\times 3\times 4}$

$=12\times 6$

$=72$