To find the surface area of a rectangular pyramid, you need to calculate the area of the base and the area of the four triangular faces.
Given:
Length (L) = 20
Width (W) = 18
Height (H) = 16.6
Slant height (S) = 17.2
1. Calculate the area of the base:
Area of the base = Length x Width
Area of the base = 20 x 18
Area of the base = 360 square units
2. Calculate the area of a triangular face:
First, calculate the base of the triangle face using the Pythagorean theorem:
b = √((W/2)^2 + H^2)
b = √((9)^2 + 16.6^2)
b = √(81 + 275.56)
b = √356.56
b = 18.88 units
Now, calculate the area of the triangular face:
Area of a triangular face = (1/2) x base x height
Area of a triangular face = (1/2) x 18.88 x 17.2
Area of a triangular face = 162.688 square units
3. Calculate the total surface area:
Total surface area = Base area + 4 x Triangular face area
Total surface area = 360 + 4 x 162.688
Total surface area = 360 + 650.752
Total surface area = 1010.752 square units
Therefore, the surface area of the rectangular pyramid is 1010.752 square units.
What is the surface of the rectangular pyramid?
L= 20 W= 18 H=16.6 Hight slant= 17.2
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