Question

A cardboard box with volume $3\frac{1}{4}$ cu ft is filled with small cardboard boxes of $\frac{5}{16}$ cu ft. Find the number of small cardboard boxes that can be put inside the large box?

• A. 8
• B. 10
• C. 12
• D. 14

Answer 1

The correct option is C 12

Given:
Volume of the larger box = $3\frac{3}{4}$ = $\frac{15}{4}$ cu ft
Volume of the smaller box = $\frac{5}{16}$ cu ft

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

$\Rightarrow$ $\frac{15}{4}$ = n × $\frac{5}{16}$

$\Rightarrow$ $\frac{15}{4}$ ÷ $\frac{5}{16}$ = n × $\frac{5}{16}$ ÷ $\frac{5}{16}$

$\Rightarrow$ $\frac{15}{4}$ × $\frac{16}{5}$ = n

$\Rightarrow$ n = 3 x 4
$\Rightarrow$ n = 12 boxes

Therefore, 12 small cardboard boxes that can be put inside the large box.