If the surface of a rectangular pyramid was 102,787.2 cm², what would the dimensions of the rectangular pyramid be
Let's assume that the rectangular pyramid has a rectangular base with dimensions of length, width, and height. Let's call the length of the base l, the width of the base w, and the height of the pyramid h.
The total surface area of a rectangular pyramid can be calculated using the formula:
Surface area = 2lw + lh + wh
Given that the surface area is 102,787.2 cm², we can substitute this into the formula and solve for the dimensions:
102,787.2 = 2lw + lh + wh
Now, we need to find a combination of l, w, and h that will work for this equation. Let's assume that l = 100, w = 100, and h = 10:
2(100)(100) + 100(10) + 100(10) = 20,000 + 1,000 + 1,000 = 22,000
This combination would not work, so let's try another one:
Let l = 10, w = 10, and h = 10
2(10)(10) + 10(10) + 10(10) = 200 + 100 + 100 = 400
This combination would also not work. It seems that the dimensions we have chosen do not result in the surface area given.
In order to find the correct dimensions, we would need more information or the correct dimensions from the problem.