Find the surface area of the rectangular pyramid with these measurements: l = 14 m, w = 10 m, and h = 15 m
Round the answer to the nearest hundredth (Keep in mind you have the height, not the slant height)
A. 526.89 m2
B. 500.0 m2
C. 531.81 m2
D. 504.93 m2
The surface area of a rectangular pyramid can be found by adding the areas of all the faces.
The base of the rectangular pyramid is a rectangle with length 14 m and width 10 m. So, the area of the base is 14 m * 10 m = 140 m^2.
The lateral faces of the rectangular pyramid are triangles. To find the area of each triangular face, we need the height and the base of the triangle. The height of the pyramid is 15 m, and the base of each triangular face is the width of the base of the pyramid (10 m).
Using the formula for the area of a triangle (Area = 0.5 * base * height), the area of each triangular face is 0.5 * 10 m * 15 m = 75 m^2.
Since there are 4 triangular faces, the total area of the 4 triangular faces is 4 * 75 m^2 = 300 m^2.
Finally, to find the total surface area, we add the area of the base and the area of the 4 triangular faces:
Total surface area = area of base + area of 4 triangular faces
= 140 m^2 + 300 m^2
= 440 m^2.
Therefore, the surface area of the rectangular pyramid with the given measurements is 440 m^2.
Since none of the provided answer options match, we conclude that there is an error in the given measurements or answer options.