Question

the surface area of a rectangular box is given by the polynomial 2hl + 2lw+ 2hw and is measured in square units. a rectangular box is to be constructed to hold a shipping material. the box is to have dimensions of 6 inches by 5 inches by 8 inches. find the surface area of the box. the surface area of the box is

Explanation:

Step1: Identify the values of H, L, W

Let $H = 6$, $L = 5$, $W = 8$.

Step2: Substitute values into the formula

The surface - area formula is $S=2HL + 2LW+2HW$. Substitute $H = 6$, $L = 5$, $W = 8$ into it:
\[

$$\begin{align*} S&=2\times6\times5+2\times5\times8 + 2\times6\times8\\ &=60 + 80+96 \end{align*}$$

\]

Step3: Calculate the sum

$S=60 + 80+96=236$.

Answer:

236 sq in