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

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

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

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

Step 3

Simplify each term.

Multiply $2 \cdot 5 \cdot 5$ .

Multiply $2$ by $5$ .

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

Multiply $10$ by $5$ .

$50 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5$

Multiply $2 \cdot 5 \cdot 5$ .

Multiply $2$ by $5$ .

$50 + 10 \cdot 5 + 2 \cdot 5 \cdot 5$

Multiply $10$ by $5$ .

$50 + 50 + 2 \cdot 5 \cdot 5$

Multiply $2 \cdot 5 \cdot 5$ .

Multiply $2$ by $5$ .

$50 + 50 + 10 \cdot 5$

Multiply $10$ by $5$ .

$50 + 50 + 50$

Step 4

Simplify by adding numbers.

Add $50$ and $50$ .

$100 + 50$

Add $100$ and $50$ .

$150$