The formula for the surface area of a rectangular pyramid is given by:
Surface Area = lw + lh + wh + (l * slant height)
l = length = 15 m
w = width = 12 m
h = height = 10 m
To find the slant height, we can use the Pythagorean theorem:
Slant height = √((w/2)² + h²)
Slant height = √((12/2)² + 10²)
Slant height = √(6² + 100)
Slant height = √(36 + 100)
Slant height = √136 ≈ 11.66 m
Now, we can calculate the surface area:
Surface Area = lw + lh + wh + (l * slant height)
Surface Area = (15 * 12) + (15 * 10) + (12 * 10) + (15 * 11.66)
Surface Area = 180 + 150 + 120 + 174.9
Surface Area ≈ 624.9 square meters
Therefore, the surface area of the rectangular pyramid is approximately 624.9 square meters.
Find the surface area of a rectangular pyramid with these measurements l =15 m, w = 12m and h = 10m
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