Question

24 square feet 37 square feet 39 square feet

Explanation:

Step1: Calculate the area of the square base

The formula for the area of a square is \(A = s^2\), where \(s\) is the side - length. Here \(s = 3\) ft, so \(A_{base}=3^2=9\) square feet.

Step2: Calculate the area of one triangular face

The formula for the area of a triangle is \(A=\frac{1}{2}bh\). Here \(b = 3\) ft (base of the triangle) and \(h = 5\) ft (height of the triangle). So \(A_{triangle}=\frac{1}{2}\times3\times5=\frac{15}{2}=7.5\) square feet.

Step3: Calculate the total surface area

The pyramid has \(1\) square base and \(4\) triangular faces. The total surface area \(A = A_{base}+4\times A_{triangle}\).
Substitute the values: \(A=9 + 4\times7.5\).
First, calculate \(4\times7.5 = 30\). Then \(A=9 + 30=39\) square feet.

Answer:

39 square feet