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A pyramid shaped building is 311 feet tall and has a square base with sides of 619 ft. The sides of the building are made from reflective glass. what is the surface area of the reflective glass

User Cybertoast
by
6.8k points

1 Answer

4 votes

Answer:

Surface area of the reflective glass is 543234.4 square feet.

Explanation:

Given that: height = 311 feet, sides of square base = 619 feet.

To determine the slant height, we have;


l^(2) =
311^(2) +
309.5^(2)

= 96721 + 95790.25

= 192511.25

⇒ l =
√(192511.25)

= 438.761

The slant height, l is 438.8 feet.

Considering one reflecting surface of the pyramid, its area =
(1)/(2) × base × height

area =
(1)/(2) × 619 × 438.8

= 135808.6

= 135808.6 square feet

Since the pyramid has four reflective surfaces,

surface area of the reflective glass = 4 × 135808.6

= 543234.4 square feet

User Larpon
by
6.1k points
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