Question

The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance

to the museum. If the pyramid is 35 meters wide at the base and 20.6 meters tall, what was the
minimum amount of glass needed to construct the pyramid?
Point

Answer 1

lateral area = 1892.1 m²

Explanation:

The lateral surface area of the square based pyramid is required.

lateral surface area = 1/2 × perimeter × slant height

we have to find the slant height using Pythagoras theorem

base = 35

height = 20.6

slant height² = 17.5² + 20.6²

slant height² = 306.25 + 424.36

slant height² = 730.61

slant height = √730.61

slant height = 27.0297983714

slant height ≈ 27.03 m

lateral area = 1/2 × perimeter × slant height

lateral area = 1/2 × 35 × 4 × 27.03

lateral area = 3784.200/2

lateral area = 1892.1 m²