What is the total surface area of a pyramid with base equal to 8 m and height equal to 3 m?
Responses:
69 m²
64 m²
80 m²
144 m²
The total surface area of a pyramid is calculated by finding the area of the base and adding the area of the four triangular faces.
First, calculate the area of the base:
Area of base = 8m x 8m = 64m²
Next, calculate the area of each triangular face, using the formula for the area of a triangle (1/2 x base x height):
Area of each triangular face = 1/2 x 8m x 3m = 12m²
Since there are 4 triangular faces on a pyramid, the total area of all the triangular faces is:
Total area of triangular faces = 4 x 12m² = 48m²
Finally, add the area of the base to the total area of the triangular faces to find the total surface area of the pyramid:
Total surface area = 64m² + 48m² = 112m²
Therefore, the total surface area of the pyramid is 112 m².