Question

Sam's cubicle is exactly in the shape of a cube of side 6 m. If it is a closed cubicle, then the total surface area of the cubicle ignoring its thickness is _______.

• A. $196m^2$ ​
• B. $216m^2$ ​
• C. $256m^2$ ​
• D. $144m^2$ ​

Answer 1

The correct option is B

$216m^2$ ​

Given that Sam's cubicle is cube-shaped and length(or breadth or height) of the cubicle is 6 m.

We know, total surface area of a cube of side $a$ $=6\times a^2$, where $a$ is the side.
(Here, $a=6m$)

$\therefore$ Total surface area of the cubicle
$=6\times a^2$
$=6\times (6{)}^2$
$=6\times 36$
$=216m^2$