Find the Surface Area box (6)(9)(5)



$\begin{array}{r} h = & 6 \\ l = & 9 \\ w = & 5 \end{array}$

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

$l = 9$ , the width

$w = 5$ , and the height

$h = 6$ into the formula.

$2 \cdot 9 \cdot 5 + 2 \cdot 9 \cdot 6 + 2 \cdot 5 \cdot 6$

Step 3

Simplify each term.

Multiply

$2 \cdot 9 \cdot 5$ .

Multiply

$2$ by

$9$ .

$18 \cdot 5 + 2 \cdot 9 \cdot 6 + 2 \cdot 5 \cdot 6$

Multiply

$18$ by

$5$ .

$90 + 2 \cdot 9 \cdot 6 + 2 \cdot 5 \cdot 6$

Multiply

$2 \cdot 9 \cdot 6$ .

Multiply

$2$ by

$9$ .

$90 + 18 \cdot 6 + 2 \cdot 5 \cdot 6$

Multiply

$18$ by

$6$ .

$90 + 108 + 2 \cdot 5 \cdot 6$

Multiply

$2 \cdot 5 \cdot 6$ .

Multiply

$2$ by

$5$ .

$90 + 108 + 10 \cdot 6$

Multiply

$10$ by

$6$ .

$90 + 108 + 60$

Step 4

Simplify by adding numbers.

Add

$90$ and

$108$ .

$198 + 60$

Add

$198$ and

$60$ .

$258$

Find the Surface Area box (6)(9)(5)

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