Question

Find the missing dimension of the rectangular prism of volume $\frac{3}{16}$ cu m.

• A. $\frac{2}{5}$m
• B. $\frac{3}{5}$m
• C. $\frac{4}{5}$m
• D. $\frac{1}{5}$m

Answer 1

The correct option is A $\frac{2}{5}$m

Volume of the rectangular prism $=\frac{3}{16}$cu m

Now, volume =Length $\times$ Width $\times$Height

$\frac{3}{16}=\frac{3}{4}\times Width\times \frac{5}{8}$

$\frac{3}{16}=\frac{15}{32}\times Width$

Width $=\frac{3}{16}÷\frac{15}{32}$

To divide a fraction by another fraction, we first need to determine the reciprocal of the second fraction.

The reciprocal of $\frac{15}{32}is\frac{32}{15}$.

Then, we multiply the first fraction by the reciprocal of the second fraction.

$\frac{3}{16}\times \frac{32}{15}$

$=\frac{96}{240}$ which in simple from is $\frac{2}{5}$.

Width $=\frac{2}{5}$m

Option D is correct.