Question

find the surface area of the following: l 21 w 17 h 19 2158 in.² 1079 in.² 57 in.² 6783 in.²

Explanation:

Step1: Recall surface - area formula for rectangular prism

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

Step2: Substitute the given values

Given \(l = 21\), \(w = 17\), and \(h = 19\). First, calculate \(lw\), \(lh\), and \(wh\):
\(lw=21\times17 = 357\), \(lh=21\times19 = 399\), \(wh=17\times19 = 323\).

Step3: Calculate the sum inside the parentheses

\(lw + lh+wh=357 + 399+323=1079\).

Step4: Multiply by 2

\(S = 2\times1079=2158\).

Answer:

2158 in.²