Question

By what per cent, the volume of a cube increases, if the length of each edge was increased by $50\%$ ?

• A. $237.5\%$
• B. $273.5\%$
• C. $125\%$
• D. $50\%$

Answer 1

The correct option is A $237.5\%$

Let the edge of cube be $l$.
$\therefore$ Volume of cube $=l^3$.

If the length of each edge was increased by $50\%$, then the edge of cube would have been $1.5l$.

$\therefore$ Volume of new cube $=(1.5l{)}^3=3.375l^3$.

$\therefore$ Percent increase in volume $=\frac{3.375l^3-l^3}{l^3}\times 100$ $=2.375\times 100=237.5\%$.

Therefore, option $A$ is correct.