Find the Surface Area box (9)(5)(3)



$\begin{array}{r} h = & 9 \\ l = & 5 \\ w = & 3 \end{array}$

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

$w = 3$ , and the height

$h = 9$ into the formula.

$2 \cdot 5 \cdot 3 + 2 \cdot 5 \cdot 9 + 2 \cdot 3 \cdot 9$

Step 3

Simplify each term.

Multiply

$2 \cdot 5 \cdot 3$ .

Multiply

$2$ by

$5$ .

$10 \cdot 3 + 2 \cdot 5 \cdot 9 + 2 \cdot 3 \cdot 9$

Multiply

$10$ by

$3$ .

$30 + 2 \cdot 5 \cdot 9 + 2 \cdot 3 \cdot 9$

Multiply

$2 \cdot 5 \cdot 9$ .

Multiply

$2$ by

$5$ .

$30 + 10 \cdot 9 + 2 \cdot 3 \cdot 9$

Multiply

$10$ by

$9$ .

$30 + 90 + 2 \cdot 3 \cdot 9$

Multiply

$2 \cdot 3 \cdot 9$ .

Multiply

$2$ by

$3$ .

$30 + 90 + 6 \cdot 9$

Multiply

$6$ by

$9$ .

$30 + 90 + 54$

Step 4

Simplify by adding numbers.

Add

$30$ and

$90$ .

$120 + 54$

Add

$120$ and

$54$ .

$174$

Find the Surface Area box (9)(5)(3)

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