A rectangular box has a square base of size $x$ $x$ , a height of $h$ $h$ and an open top. What is its surface area in terms of $x$ $x$ and $h$ $h$ ?

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Answer 1 · 2017-07-02T05:09:48

$x^{2} + 4 x h$ $x^2+4xh$

The surface area ( $S A$ $SA$ ) = Lateral $S A$ $SA$ ( $L$ $L$ ) =area of base ( $B$ $B$ )
$S A = L + B$ $SA=L+B$

$B =$ $B=$ side squared: $B = x^{2}$ $B=x^2$

$L =$ $L=$ perimeter of base multiplied by the height: $L = 4 x h$ $L=4xh$

$S A = x^{2} + 4 x h$ $SA=x^2+4xh$

A rectangular box has a square base of size xx , a height of hh and an open top. What is its surface area in terms of xx and hh?