If the surface of a rectangular pyramid with 1,643.2 cm². What would the dimensions of the rectangular pyramid be
To find the dimensions of the rectangular pyramid, we first need to calculate the surface area of a rectangular pyramid.
A rectangular pyramid consists of a rectangular base and four triangular faces. The surface area of a rectangular pyramid can be calculated using the formula:
Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)
Given that the surface area of the rectangular pyramid is 1,643.2 cm², we can assume the dimensions of the base to be length (l) and width (w), and the height (h) be the slant height.
Let the dimensions of the base of the rectangular pyramid be l cm and w cm. The perimeter of the base would be 2l + 2w, and the base area would be l * w.
Therefore, we have:
1,643.2 = l * w + 0.5 * (2l + 2w) * h
Since we do not have the exact dimensions, we can have multiple possible combinations of l, w, and h that would satisfy the above equation. Examples could be:
- l = 20 cm, w = 30 cm, h = 27.4 cm
- l = 40 cm, w = 50 cm, h = 13.6 cm
Each of these sets of dimensions would result in a rectangular pyramid with a surface area of 1,643.2 cm².