Find the Surface Area box (3)(8)(5)



$\begin{array}{r} h = & 3 \\ l = & 8 \\ w = & 5 \end{array}$

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

$l = 8$ , the width

$w = 5$ , and the height

$h = 3$ into the formula.

$2 \cdot 8 \cdot 5 + 2 \cdot 8 \cdot 3 + 2 \cdot 5 \cdot 3$

Step 3

Simplify each term.

Multiply

$2 \cdot 8 \cdot 5$ .

Multiply

$2$ by

$8$ .

$16 \cdot 5 + 2 \cdot 8 \cdot 3 + 2 \cdot 5 \cdot 3$

Multiply

$16$ by

$5$ .

$80 + 2 \cdot 8 \cdot 3 + 2 \cdot 5 \cdot 3$

Multiply

$2 \cdot 8 \cdot 3$ .

Multiply

$2$ by

$8$ .

$80 + 16 \cdot 3 + 2 \cdot 5 \cdot 3$

Multiply

$16$ by

$3$ .

$80 + 48 + 2 \cdot 5 \cdot 3$

Multiply

$2 \cdot 5 \cdot 3$ .

Multiply

$2$ by

$5$ .

$80 + 48 + 10 \cdot 3$

Multiply

$10$ by

$3$ .

$80 + 48 + 30$

Step 4

Simplify by adding numbers.

Add

$80$ and

$48$ .

$128 + 30$

Add

$128$ and

$30$ .

$158$

Find the Surface Area box (3)(8)(5)

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