Question

How does the total surface area of a box change if each dimension is tripled?

Answer 1

Total surface area,T.S.A of a box=$6\times sid{e}^2$

let side=a

So,

TSA(old)=$6a^2$

If side=3a

TSA(new)=

$\begin{array}{c}6{\left(3a\right)}^2\\ =6\times 9a^2\\ =54a^2\end{array}$

Thus TSA will be 9 times if side is tripled