Question

find the surface area of the rectangular prism.
7 mi
3 mi
4 mi
answer
mi²

Explanation:

Step1: Recall the formula for surface area of a rectangular prism

The formula for the surface area \(S\) of a rectangular prism with length \(l\), width \(w\), and height \(h\) is \(S = 2(lw+lh + wh)\). Here, \(l = 4\) mi, \(w=3\) mi, \(h = 7\) mi.

Step2: Calculate \(lw\), \(lh\), and \(wh\)

• \(lw=4\times3 = 12\)
• \(lh=4\times7=28\)
• \(wh=3\times7 = 21\)

Step3: Substitute into the formula

\(S=2(12 + 28+21)\)
First, calculate the sum inside the parentheses: \(12+28 + 21=61\)
Then, multiply by 2: \(S=2\times61\)

Answer:

\(122\)