Find the Surface Area box (50)(50)(50)

 $\begin{array}{r} h = & 50 \\ l = & 50 \\ w = & 50 \end{array}$

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 $l = 50$ , the width $w = 50$ , and the height $h = 50$ into the formula.

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

Step 3

Simplify each term.

Multiply $2 \cdot 50 \cdot 50$ .

Multiply $2$ by $50$ .

$100 \cdot 50 + 2 \cdot 50 \cdot 50 + 2 \cdot 50 \cdot 50$

Multiply $100$ by $50$ .

$5000 + 2 \cdot 50 \cdot 50 + 2 \cdot 50 \cdot 50$

Multiply $2 \cdot 50 \cdot 50$ .

Multiply $2$ by $50$ .

$5000 + 100 \cdot 50 + 2 \cdot 50 \cdot 50$

Multiply $100$ by $50$ .

$5000 + 5000 + 2 \cdot 50 \cdot 50$

Multiply $2 \cdot 50 \cdot 50$ .

Multiply $2$ by $50$ .

$5000 + 5000 + 100 \cdot 50$

Multiply $100$ by $50$ .

$5000 + 5000 + 5000$

Step 4

Simplify by adding numbers.

Add $5000$ and $5000$ .

$10000 + 5000$

Add $10000$ and $5000$ .

$15000$