Question

25 in.

30 in.

25 in.

Brynn plans to cover each face of a triangular pyramid with fabric. The diagram shows the net of the pyramid along
vith its dimensions. Each face of the pyramid is an equilateral triangle. How many total square inches of fabric are
eeded to cover the entire triangular pyramid?

i 25 in.

Answer 1

I’m missing the diagram, so I’m not sure which edge is which from the numbers you gave (25, 30, 25). Can you upload a picture of the net or confirm the side length of the equilateral triangles?

Meanwhile, here are the formulas and results for the two likely interpretations:

- If each face is an equilateral triangle with side length s, area of one face = s^2 * sqrt(3) / 4, and total surface area (4 faces) = s^2 * sqrt(3).

- If s = 25 in: total area = 25^2 * sqrt(3) ≈ 625 * 1.73205 ≈ 1082.53 in^2.
- If s = 30 in: total area = 30^2 * sqrt(3) ≈ 900 * 1.73205 ≈ 1558.85 in^2.

Tell me which edge is the triangle side (or upload the diagram) and I’ll give the exact final answer.