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 has a slant height of 27.03
meters, what is the minimum amount of glass needed to construct the pyramid? Find the Lateral
Area

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 = 27.03

slant height² = 17.5² + 27.03²

slant height² = 1036.8709 + 424.36

slant height² = 1461.2

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