Question

a wooden pillar in the shape of a square prism has a base side length, s, of 4 inches and a height, h, of 9 inches. find the surface area of the pillar. use the formula sa = 2s² + 4sh. a. 176 square inches b. 208 square inches c. 1,296 square inches d. 2,448 square inches

Explanation:

Step1: Substitute the values into the formula

Given \(s = 4\) inches and \(h=9\) inches, and the formula \(SA = 2s^{2}+4sh\).
First, calculate \(2s^{2}\):
\(2s^{2}=2\times4^{2}=2\times16 = 32\)
Second, calculate \(4sh\):
\(4sh=4\times4\times9=144\)

Step2: Calculate the surface area

Then, find \(SA\) by adding the two results:
\(SA=2s^{2}+4sh=32 + 144\)

Answer:

\(176\) square inches (Option A)