Find the Surface Area box (5)(3)(2)

 $\begin{array}{r} h = & 5 \\ l = & 3 \\ w = & 2 \end{array}$

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 $l = 3$ , the width $w = 2$ , and the height $h = 5$ into the formula.

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

Step 3

Simplify each term.

Multiply $2 \cdot 3 \cdot 2$ .

Multiply $2$ by $3$ .

$6 \cdot 2 + 2 \cdot 3 \cdot 5 + 2 \cdot 2 \cdot 5$

Multiply $6$ by $2$ .

$12 + 2 \cdot 3 \cdot 5 + 2 \cdot 2 \cdot 5$

Multiply $2 \cdot 3 \cdot 5$ .

Multiply $2$ by $3$ .

$12 + 6 \cdot 5 + 2 \cdot 2 \cdot 5$

Multiply $6$ by $5$ .

$12 + 30 + 2 \cdot 2 \cdot 5$

Multiply $2 \cdot 2 \cdot 5$ .

Multiply $2$ by $2$ .

$12 + 30 + 4 \cdot 5$

Multiply $4$ by $5$ .

$12 + 30 + 20$

Step 4

Simplify by adding numbers.

Add $12$ and $30$ .

$42 + 20$

Add $42$ and $20$ .

$62$