Question

find the surface area of the figure shown below.
image of a rectangular prism with length 45 in, width 25 in, height 30 in
3225 sq. in.
6450 sq. in.
3375 cu. in.
6750 cu. in.

Explanation:

Step1: Recall the formula for the 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.
Here, \(l = 45\) in, \(w=25\) in, \(h = 30\) in.

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

• \(lw=45\times25 = 1125\)
• \(lh=45\times30=1350\)
• \(wh=25\times30 = 750\)

Step3: Substitute into the formula

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Answer:

6450 sq. in.