Karina is creating two pyramids with the nets below using construction paper. In both nets, all of the triangular faces of the pyramids have a height of 9 inches and a base of 6 inches. Compare the amount of construction paper needed to make each pyramid.
Since all of the triangular faces of the pyramids have the same measurements, we can use the formula for the area of a triangle, which is:
Area = (base x height) / 2
For both pyramids, the base of each triangle is 6 inches, and the height is 9 inches. Therefore, the area of each triangle is:
Area = (6 x 9) / 2 = 27 square inches.
To find the total amount of construction paper needed for each pyramid, we need to add up the areas of all of the triangles.
For the first pyramid, there are four triangles. Therefore, the total area of the construction paper needed for this pyramid is:
4 x 27 = 108 square inches.
For the second pyramid, there are six triangles. Therefore, the total area of the construction paper needed for this pyramid is:
6 x 27 = 162 square inches.
Therefore, the second pyramid requires more construction paper than the first pyramid.