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

Answer:

Surface area of the reflective glass is 543234.4 square feet.

Step-by-step 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 = $\sqrt{192511.25}$

      = 438.761

The slant height, l is 438.8 feet.

Considering one reflecting surface of the pyramid, its area = $\frac{1}{2}$ × base × height

  area =  $\frac{1}{2}$ × 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