Question

The ratio of the lateral surface area of a cube to its total surface area is __________.

• A. 3 : 4
• B. 4 : 5
• C. 2 : 3
• D. 2 : 5

Answer 1

The correct option is C 2 : 3

The lateral surface area of a cube is given by $4a^2$, where a is the edge length of the cube.
Total surface area of a cube is given by $6a^2$
Hence the required ratio
$=\frac{Lateralsurfaceareaofacube}{Totalsurfaceareaofacube}$
$=\frac{4a^2}{6a^2}$
$=\frac{4}{6}$
$=\frac{2}{3}$
Therefore, the required ratio is $2:3$.