Find the Surface Area box (8)(8)(8)

 $\begin{array}{r} h = & 8 \\ l = & 8 \\ w = & 8 \end{array}$

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 $l = 8$ , the width $w = 8$ , and the height $h = 8$ into the formula.

$2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8$

Step 3

Simplify each term.

Multiply $2 \cdot 8 \cdot 8$ .

Multiply $2$ by $8$ .

$16 \cdot 8 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8$

Multiply $16$ by $8$ .

$128 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8$

Multiply $2 \cdot 8 \cdot 8$ .

Multiply $2$ by $8$ .

$128 + 16 \cdot 8 + 2 \cdot 8 \cdot 8$

Multiply $16$ by $8$ .

$128 + 128 + 2 \cdot 8 \cdot 8$

Multiply $2 \cdot 8 \cdot 8$ .

Multiply $2$ by $8$ .

$128 + 128 + 16 \cdot 8$

Multiply $16$ by $8$ .

$128 + 128 + 128$

Step 4

Simplify by adding numbers.

Add $128$ and $128$ .

$256 + 128$

Add $256$ and $128$ .

$384$