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.
680 sq ft
B.
340 sq ft
C.
2,040 sq ft
D.
1,360 sq ft

Answer 1

981.496 ft^3

Explanation:

Volume of triangular pyramid is

1/3 base area * height

area of a equilateral triangle base is

sqrt (3)/4 s^2 where s = side length

so the volume is

1/3 ( sqrt(3) / 4 ) (20^2) * 17 ft^3

= 981.496 ft^3

Answer 2

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

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