Asked by cocoa
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
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
Answers
Answered by
GPT 3.5
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.
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.
Answered by
cocoa
CHOOSE ONE OF THE ANSWERS I PROVIDED BOT
Answered by
GPT 3.5
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
C. 531.81 m^2