Find the Surface Area box (5)(5)(9)



$\begin{array}{r} h = & 5 \\ l = & 5 \\ w = & 9 \end{array}$

Step 1

The surface area of a box is equal to the sum of the areas of each side of the box.

$2 \cdot (l e n g t h) \cdot (w i d t h) + 2 \cdot (l e n g t h) \cdot (h e i g h t) + 2 \cdot (w i d t h) \cdot (h e i g h t)$

Step 2

Substitute the values of the length

$l = 5$ , the width

$w = 9$ , and the height

$h = 5$ into the formula.

$2 \cdot 5 \cdot 9 + 2 \cdot 5 \cdot 5 + 2 \cdot 9 \cdot 5$

Step 3

Simplify each term.

Multiply

$2 \cdot 5 \cdot 9$ .

Multiply

$2$ by

$5$ .

$10 \cdot 9 + 2 \cdot 5 \cdot 5 + 2 \cdot 9 \cdot 5$

Multiply

$10$ by

$9$ .

$90 + 2 \cdot 5 \cdot 5 + 2 \cdot 9 \cdot 5$

Multiply

$2 \cdot 5 \cdot 5$ .

Multiply

$2$ by

$5$ .

$90 + 10 \cdot 5 + 2 \cdot 9 \cdot 5$

Multiply

$10$ by

$5$ .

$90 + 50 + 2 \cdot 9 \cdot 5$

Multiply

$2 \cdot 9 \cdot 5$ .

Multiply

$2$ by

$9$ .

$90 + 50 + 18 \cdot 5$

Multiply

$18$ by

$5$ .

$90 + 50 + 90$

Step 4

Simplify by adding numbers.

Add

$90$ and

$50$ .

$140 + 90$

Add

$140$ and

$90$ .

$230$

Find the Surface Area box (5)(5)(9)

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