Question

what is the surface area of this rectangular prism? 14 in. 20 in. 11 in. square inches

Explanation:

Step1: Recall surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Identify the dimensions

Here, $l = 20$ in, $w = 11$ in, and $h = 14$ in.

Step3: Calculate $lw$, $lh$, and $wh$

$lw=20\times11 = 220$ in², $lh = 20\times14=280$ in², $wh=11\times14 = 154$ in².

Step4: Calculate the sum inside the parentheses

$lw+lh + wh=220 + 280+154=654$ in².

Step5: Multiply by 2

$SA = 2\times654 = 1308$ in².

Answer:

1308