Question

this net can be folded to make a square pyramid. what is the surface area of the pyramid? 40 square inches 145 square inches 85 square inches 150 square inches 6 inches 5 inches

Explanation:

Step1: Calculate base area

The base is a square with side - length 5 inches. The area of the base $A_{base}=s^2$, where $s = 5$ inches. So $A_{base}=5^2=25$ square inches.

Step2: Calculate area of one triangular face

The area of a triangle is $A=\frac{1}{2}bh$. Here, the base $b = 5$ inches and the height $h = 6$ inches. So $A_{triangle}=\frac{1}{2}\times5\times6 = 15$ square inches.

Step3: Calculate total area of triangular faces

There are 4 triangular faces. So $A_{triangles}=4\times A_{triangle}=4\times15 = 60$ square inches.

Step4: Calculate surface area

The surface area $A = A_{base}+A_{triangles}=25 + 120=145$ square inches.

Answer:

145 square inches