Find the surface area of rectangular pyramid with these measurements.

L = 14 m, w = 10 m, and h = 15 m
Round your 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

3 answers

To find the surface area of a rectangular pyramid, we need to calculate the areas of the triangular faces and the rectangular base.

The area of each triangular face can be calculated using the formula A = 1/2 * base * height, where the base is the length of the rectangle and the height is the height of the pyramid.

Area of triangular face = 1/2 * 10 m * 15 m = 75 m^2

Since there are 4 triangular faces, the total area of the triangular faces is 4 * 75 m^2 = 300 m^2.

The area of the rectangular base can be calculated by multiplying the length and width of the base.

Area of rectangular base = 14 m * 10 m = 140 m^2.

Finally, we can find the surface area by adding the areas of the triangular faces and the rectangular base.

Surface area = 300 m^2 + 140 m^2 = 440 m^2.

Rounded to the nearest hundredth, the surface area of the rectangular pyramid is approximately 440.00 m^2.

None of the given answer choices match the calculated surface area.
CHOOSE ONE OF THE ANSWERS I PROVIDED BOT
My apologies for the mistake. Among the options you provided, the closest answer to the calculated surface area of 440 m^2 is:

C. 531.81 m^2
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