The surface area of a rectangular pyramid is calculated by adding the area of the base to the lateral area.
The base of the pyramid is rectangular with length L = 8 and width W = 10, so the area of the base is:
Area_base = L * W
Area_base = 8 * 10
Area_base = 80
The lateral area of a rectangular pyramid is calculated using the formula:
Lateral area = 0.5 * perimeter * slant height
First, find the perimeter of the base:
Perimeter = 2(L + W)
Perimeter = 2(8 + 10)
Perimeter = 2(18)
Perimeter = 36
Now, calculate the lateral area:
Lateral area = 0.5 * 36 * 15
Lateral area = 0.5 * 540
Lateral area = 270
Finally, add the area of the base and the lateral area to find the total surface area:
Surface area = Area_base + Lateral area
Surface area = 80 + 270
Surface area = 350
Therefore, the surface area of the rectangular pyramid is 350 square units.
What is the surface area of the rectangular pyramid?
L=8 W=10
H= 12 Hight slant = 15
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