What is the surface area of Sally’s Pyraminx?

Question

Write your answer in decimal form. Round to the nearest thousandth.
is a triangula piramid, Its base and height are 4 in.
Use a slant height of 3.646 in. for this question

Answer 1

The surface area of Sally's Pyraminx can be calculated using the formula:

Surface Area = base area + (0.5 * perimeter of base * slant height)

First, calculate the base area:
Base area = 0.5 * base * height
Base area = 0.5 * 4 * 4
Base area = 8 square inches

Next, calculate the perimeter of the base:
Perimeter = 3 * base
Perimeter = 3 * 4
Perimeter = 12 inches

Now, calculate the surface area:
Surface Area = 8 + (0.5 * 12 * 3.646)
Surface Area = 8 + (0.5 * 43.752)
Surface Area = 8 + 21.876
Surface Area = 29.876 square inches

Therefore, the surface area of Sally's Pyraminx is 29.876 square inches.