Find the Surface Area box (9)(8)(7)



$\begin{array}{r} h = & 9 \\ l = & 8 \\ w = & 7 \end{array}$

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

$l = 8$ , the width

$w = 7$ , and the height

$h = 9$ into the formula.

$2 \cdot 8 \cdot 7 + 2 \cdot 8 \cdot 9 + 2 \cdot 7 \cdot 9$

Step 3

Simplify each term.

Multiply

$2 \cdot 8 \cdot 7$ .

Multiply

$2$ by

$8$ .

$16 \cdot 7 + 2 \cdot 8 \cdot 9 + 2 \cdot 7 \cdot 9$

Multiply

$16$ by

$7$ .

$112 + 2 \cdot 8 \cdot 9 + 2 \cdot 7 \cdot 9$

Multiply

$2 \cdot 8 \cdot 9$ .

Multiply

$2$ by

$8$ .

$112 + 16 \cdot 9 + 2 \cdot 7 \cdot 9$

Multiply

$16$ by

$9$ .

$112 + 144 + 2 \cdot 7 \cdot 9$

Multiply

$2 \cdot 7 \cdot 9$ .

Multiply

$2$ by

$7$ .

$112 + 144 + 14 \cdot 9$

Multiply

$14$ by

$9$ .

$112 + 144 + 126$

Step 4

Simplify by adding numbers.

Add

$112$ and

$144$ .

$256 + 126$

Add

$256$ and

$126$ .

$382$

Find the Surface Area box (9)(8)(7)

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