Question

Determine the ratio of the lateral surface area to total surface area of a cube.

• A. $\frac{3}{2}$
• B. $\frac{2}{3}$
• C. 1
• D. $\frac{4}{9}$

Answer 1

The correct option is B

$\frac{2}{3}$

We know, $\text{LSA of a cube of side 'a'}=4a^2$
$\text{And, TSA of a cube of side 'a'}=6a^2$

Hence, the required ratio = $\frac{4\times a^2}{6\times a^2}$ = $\frac{4}{6}$ = $\frac{2}{3}$