Question

The net of a square pyramid is shown below. What are the possible areas for a single face in this net? Check all that apply.

o 4 triangles with a height of 6 and a length of 5
o 11 square meters
o 15 square meters
o 24 square meters
o 25 square meters
o 30 square meters

Answer 1

The correct answer are option 3 and 5. The possible areas for a single face of the given net of a square pyramid are 15 square meters and 25 square meters.

Step-by-step explanation:

The net of a square pyramid consists of 4 triangles and a square base. To find the possible areas for a single face, we need to calculate the area of each triangle and the area of the square:

1. The formula for the area of a triangle is 1/2 x base x height. Since the height of each triangle is 6 and the base is 5, the area of each triangle is (1/2) x 6 x 5 = 15 square meters.
2. The area of the square base can be calculated by multiplying the length of one side by itself. If the length of the side is x, then the area is x^2. Since the square has a side length of 5, the area is 5^2 = 25 square meters.

Therefore, the possible areas for a single face in this net are 15 square meters and 25 square meters. Thus, the correct options are 15 square meters and 25 square meters.