Question

sarah is designing a triangular pyramid made of all glass to go on top of a building. all of the faces of the pyramid have a height of 17 feet and a base of 20 feet. how much glass is needed? a. 2,040 sq ft b. 680 sq ft c. 340 sq ft d. 1,360 sq ft

Explanation:

Step1: Calculate the area of one triangular face

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Given \(base = 20\) feet and \(height=17\) feet.
\(A=\frac{1}{2}\times20\times17\)
\(A = 10\times17=170\) square feet.

Step2: Find the total surface area of the triangular pyramid

A triangular pyramid has 4 triangular faces.
Total surface area \(=4\times A\)
Substitute \(A = 170\) into the formula: \(4\times170 = 680\) square feet.

Answer:

B. 680 sq ft