Find the Surface Area box (6)(8)(2)

 $\begin{array}{r} h = & 6 \\ l = & 8 \\ w = & 2 \end{array}$

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 $w = 2$ , and the height $h = 6$ into the formula.

$2 \cdot 8 \cdot 2 + 2 \cdot 8 \cdot 6 + 2 \cdot 2 \cdot 6$

Step 3

Simplify each term.

Multiply $2 \cdot 8 \cdot 2$ .

Multiply $2$ by $8$ .

$16 \cdot 2 + 2 \cdot 8 \cdot 6 + 2 \cdot 2 \cdot 6$

Multiply $16$ by $2$ .

$32 + 2 \cdot 8 \cdot 6 + 2 \cdot 2 \cdot 6$

Multiply $2 \cdot 8 \cdot 6$ .

Multiply $2$ by $8$ .

$32 + 16 \cdot 6 + 2 \cdot 2 \cdot 6$

Multiply $16$ by $6$ .

$32 + 96 + 2 \cdot 2 \cdot 6$

Multiply $2 \cdot 2 \cdot 6$ .

Multiply $2$ by $2$ .

$32 + 96 + 4 \cdot 6$

Multiply $4$ by $6$ .

$32 + 96 + 24$

Step 4

Simplify by adding numbers.

Add $32$ and $96$ .

$128 + 24$

Add $128$ and $24$ .

$152$