Find the Surface Area box (5)(7)(6)

 $\begin{array}{r} h = & 5 \\ l = & 7 \\ w = & 6 \end{array}$

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 $l = 7$ , the width $w = 6$ , and the height $h = 5$ into the formula.

$2 \cdot 7 \cdot 6 + 2 \cdot 7 \cdot 5 + 2 \cdot 6 \cdot 5$

Step 3

Simplify each term.

Multiply $2 \cdot 7 \cdot 6$ .

Multiply $2$ by $7$ .

$14 \cdot 6 + 2 \cdot 7 \cdot 5 + 2 \cdot 6 \cdot 5$

Multiply $14$ by $6$ .

$84 + 2 \cdot 7 \cdot 5 + 2 \cdot 6 \cdot 5$

Multiply $2 \cdot 7 \cdot 5$ .

Multiply $2$ by $7$ .

$84 + 14 \cdot 5 + 2 \cdot 6 \cdot 5$

Multiply $14$ by $5$ .

$84 + 70 + 2 \cdot 6 \cdot 5$

Multiply $2 \cdot 6 \cdot 5$ .

Multiply $2$ by $6$ .

$84 + 70 + 12 \cdot 5$

Multiply $12$ by $5$ .

$84 + 70 + 60$

Step 4

Simplify by adding numbers.

Add $84$ and $70$ .

$154 + 60$

Add $154$ and $60$ .

$214$