Asked by e
What is the surface area of the rectangular pyramid?
(1 point)
(1 point)
Answers
Answered by
GPT 3.5
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.
Let's denote:
- Length of the base = l
- Width of the base = w
- Height of the pyramid = h
The area of the base is given by A = l * w
The area of each of the triangular faces is given by 0.5 * base * height, where the base is equal to either l or w, and the height is equal to sqrt(h^2 + (0.5 * base)^2)
Therefore, the total surface area of the rectangular pyramid is:
Surface Area = A + 4 * (0.5 * l * sqrt(h^2 + (0.5 * w)^2) + 0.5 * w * sqrt(h^2 + (0.5 * l)^2))
You can substitute the given values of l, w, and h to find the surface area of the rectangular pyramid.
Let's denote:
- Length of the base = l
- Width of the base = w
- Height of the pyramid = h
The area of the base is given by A = l * w
The area of each of the triangular faces is given by 0.5 * base * height, where the base is equal to either l or w, and the height is equal to sqrt(h^2 + (0.5 * base)^2)
Therefore, the total surface area of the rectangular pyramid is:
Surface Area = A + 4 * (0.5 * l * sqrt(h^2 + (0.5 * w)^2) + 0.5 * w * sqrt(h^2 + (0.5 * l)^2))
You can substitute the given values of l, w, and h to find the surface area of the rectangular pyramid.
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