It is a triangular pyramid where each triangle has a base of 4 in and its faces measure 4 in, it has an h= 6.646 in.
What is the surface area of Sally's pyramid? Write your answer in decimal form. Round to the nearest thousandth.
To calculate the surface area of Sally's pyramid, we need to find the area of the four triangular faces and the base.
The area of each triangular face can be found using the formula for the area of a triangle: A = 0.5 * base * height. In this case, the base is 4 inches and the height is 6.646 inches.
A = 0.5 * 4 * 6.646
A = 13.292 square inches
Since there are four triangular faces, the total area of the four faces is:
Total area = 4 * 13.292
Total area = 53.168 square inches
The area of the base is simply the area of a square, which can be calculated by squaring the length of one of the sides:
Base area = 4 * 4
Base area = 16 square inches
Now, the total surface area of the pyramid is the sum of the area of the four faces and the area of the base:
Surface area = Total area + Base area
Surface area = 53.168 + 16
Surface area = 69.168 square inches
Therefore, the surface area of Sally's pyramid is 69.168 square inches.