Question

a rectangular prism has a height of 6 inches, a width of 20 in., and a length of 25 in. what is the surface area of the rectangular prism in in.²? 3080 in.² 3000 in.² 1590 in.² 1540 in.²

Explanation:

Step1: Recall surface - area formula

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

Step2: Substitute the given values

Given $l = 25$ in, $w = 20$ in, and $h = 6$ in. First, calculate $lw$: $lw=25\times20 = 500$ in². Then, calculate $lh$: $lh = 25\times6=150$ in². Next, calculate $wh$: $wh=20\times6 = 120$ in².

Step3: Calculate the sum inside the parentheses

$lw+lh + wh=500 + 150+120=770$ in².

Step4: Multiply by 2

$SA = 2\times770=1540$ in².

Answer:

1540 in²