Question

A large cardboard box with volume $2\frac{1}{3}$ cu ft is filled with small cardboard boxes of volume $\frac{7}{24}$ cu ft. Find the number of small boxes that can be put inside the large cardboard box.

• A. 6
• B. 8
• C. 9
• D. 12

Answer 1

The correct option is B 8

Given:
Volume of the large box = $2\frac{1}{3}$ cu ft
Volume of the small box = $\frac{7}{24}$ cu ft

We know that,
Volume of the large box = Number of small boxes × Volume of the small box

$\Rightarrow$ $2\frac{1}{3}$ = n × $\frac{7}{24}$

$\Rightarrow$ $\frac{7}{3}$ ÷ $\frac{7}{24}$ = n × $\frac{7}{24}$ ÷ $\frac{7}{24}$

$\Rightarrow$ $\frac{7}{3}$ × $\frac{24}{7}$ = n × $\frac{7}{24}$ × $\frac{24}{7}$

$\Rightarrow$ n = 8

Therfore, 8 small boxes that can be put inside the large box.