Karina is creating two pyramids with the nets below using construction paper In both nets, all of the triangular faces of the pyramid have a height of 9 inches and a base of 6 inches. Compare the amount of construction paper needed to make each pyramid

1 answer

To compare the amount of construction paper needed to make each pyramid, let's calculate the surface area of each net.

Net 1:
The net consists of 4 triangles with a base of 6 inches and a height of 9 inches.
The formula for the area of a triangle is 1/2 * base * height.
So, the surface area of each triangle is 1/2 * 6 * 9 = 27 square inches.
Since there are 4 triangles in net 1, the total surface area is 4 * 27 = 108 square inches.

Net 2:
The net also consists of 4 triangles with a base of 6 inches and a height of 9 inches.
Using the same formula, the surface area of each triangle is 1/2 * 6 * 9 = 27 square inches.
Therefore, the total surface area of net 2 is also 4 * 27 = 108 square inches.

Both pyramids require the same amount of construction paper, which is 108 square inches.