Question

the rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches. what is the surface area of the prism? 24 in. 18 in. 12 in. 1,440 square inches 1,584 square inches 1,872 square inches 2,160 square inches

Explanation:

Step1: Recall the formula for surface area of a 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 into the formula

Given \(l = 18\) inches, \(w = 24\) inches, \(h=12\) inches.
First, calculate \(lw\): \(lw=18\times24 = 432\)
Then, calculate \(lh\): \(lh = 18\times12=216\)
Next, calculate \(wh\): \(wh=24\times12 = 288\)
Now, find \(lw+lh+wh\): \(432 + 216+288=936\)
Finally, find \(S\): \(S = 2\times936\)
\(S=1872\)

Answer:

1,872 square inches