Find the Surface Area box (2)(5)(7)

 $\begin{array}{r} h = & 2 \\ l = & 5 \\ w = & 7 \end{array}$

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 $l = 5$ , the width $w = 7$ , and the height $h = 2$ into the formula.

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

Step 3

Simplify each term.

Multiply $2 \cdot 5 \cdot 7$ .

Multiply $2$ by $5$ .

$10 \cdot 7 + 2 \cdot 5 \cdot 2 + 2 \cdot 7 \cdot 2$

Multiply $10$ by $7$ .

$70 + 2 \cdot 5 \cdot 2 + 2 \cdot 7 \cdot 2$

Multiply $2 \cdot 5 \cdot 2$ .

Multiply $2$ by $5$ .

$70 + 10 \cdot 2 + 2 \cdot 7 \cdot 2$

Multiply $10$ by $2$ .

$70 + 20 + 2 \cdot 7 \cdot 2$

Multiply $2 \cdot 7 \cdot 2$ .

Multiply $2$ by $7$ .

$70 + 20 + 14 \cdot 2$

Multiply $14$ by $2$ .

$70 + 20 + 28$

Step 4

Simplify by adding numbers.

Add $70$ and $20$ .

$90 + 28$

Add $90$ and $28$ .

$118$