Question

Amy designed a glass pyramid for a museum courtyard. Each side of the square base is 10 feet long. Each of the 4 triangular faces has a height of 10 feet (HINT: the height of the faces is the slant height). How much glass will be used to construct the base and the triangular faces? 200 square feet 500 square feet 300 square feet 400 square feet

Answer 1

The design is a square base pyramid. It has 4 triangular faces and a square base. To determine how much glass that would be used to construct the base and the triangular faces, we would determine the surface area of the triangular pyramid. It is

Surface area = sum of area of triangular faces + area of square base

Recall,

area of triangle = 1/2 x base x height

Given that

base = 10

height = 10

Area of triangular face = 1/2 x 10 x 10 = 50

Area of 4 triangular faces = 50 x 4 = 200 square feet

Area of a square = side length^2

side length = 10

Area of square base = 10^2 = 100 square feet

Thus,

Surface area = 200 + 100 = 300 square feet

Thus, the correct option is 300 square feet