Question

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

Answer 1

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