Find the Surface Area box (4)(3)(5)

 $\begin{array}{r} h = & 4 \\ l = & 3 \\ w = & 5 \end{array}$

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 $l = 3$ , the width $w = 5$ , and the height $h = 4$ into the formula.

$2 \cdot 3 \cdot 5 + 2 \cdot 3 \cdot 4 + 2 \cdot 5 \cdot 4$

Step 3

Simplify each term.

Multiply $2 \cdot 3 \cdot 5$ .

Multiply $2$ by $3$ .

$6 \cdot 5 + 2 \cdot 3 \cdot 4 + 2 \cdot 5 \cdot 4$

Multiply $6$ by $5$ .

$30 + 2 \cdot 3 \cdot 4 + 2 \cdot 5 \cdot 4$

Multiply $2 \cdot 3 \cdot 4$ .

Multiply $2$ by $3$ .

$30 + 6 \cdot 4 + 2 \cdot 5 \cdot 4$

Multiply $6$ by $4$ .

$30 + 24 + 2 \cdot 5 \cdot 4$

Multiply $2 \cdot 5 \cdot 4$ .

Multiply $2$ by $5$ .

$30 + 24 + 10 \cdot 4$

Multiply $10$ by $4$ .

$30 + 24 + 40$

Step 4

Simplify by adding numbers.

Add $30$ and $24$ .

$54 + 40$

Add $54$ and $40$ .

$94$