Question - Calculating Areas of Triangular Pyramid
Solution:
The image shows a triangular pyramid, and the task is to find the area of the base and the area of each lateral face.The base of the pyramid is a square, with each side measuring 4.5 inches. The area of a square is calculated by squaring the length of one of its sides.Area of the base (A_base) = side_length^2A_base = (4.5 in)^2A_base = 20.25 in^2For the lateral face (each triangular side of the pyramid), the formula for the area of a triangle is used, which is:Area of a triangle (A_triangle) = (base * height) / 2From the image, it appears that the calculation for one of the triangular faces has already been made:A_triangle = (4.5 in * 4.4 in) / 2A_triangle = (19.8 in^2) / 2A_triangle = 9.9 in^2Therefore, the area of the base of the pyramid is 20.25 square inches, and the area of each lateral face is 9.9 square inches.
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