Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.2 in. Each of the triangular faces has a base of 4.2 in and a height of 3.6 in. How much paper would it take to cover the entire pyramid?

Answer 1

First, let's find the area of each triangular face:

Area = 1/2 x base x height
Area = 1/2 x 4.2 in x 3.6 in
Area = 7.56 sq in

There are four triangular faces, so the total area of the triangular faces is:

Total area of triangular faces = 4 x 7.56 sq in
Total area of triangular faces = 30.24 sq in

Now, let's find the area of the square base:

Area of base = side x side
Area of base = 4.2 in x 4.2 in
Area of base = 17.64 sq in

To cover the entire pyramid, we need to find the total surface area by adding the area of the base to the area of the triangular faces:

Total surface area = area of base + total area of triangular faces
Total surface area = 17.64 sq in + 30.24 sq in
Total surface area = 47.88 sq in

Therefore, it would take approximately 47.88 sq in of paper to cover the entire pyramid.