Question

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

Answer 1

Total surface area(T.S.A)=$6\times sid{e}^2$

If its side is doubled. then,

$\begin{array}{c}6\times {\left(2side\right)}^2\\ =6\times 4\times sid{e}^2\\ =4\times 6sid{e}^2\end{array}$

Thus the total surface area is increased to four times when the side is doubled

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