What is the surface area of this rectangular pyramid?
In order to calculate the surface area of a rectangular pyramid, we need to find the area of each face and sum them all.
A rectangular pyramid has 1 rectangular base and 4 triangular faces.
Let's say the length (l) and width (w) of the rectangular base are both given. The area of the rectangular base is A = l * w.
To calculate the area of each triangular face, we need to know the length of the base of each triangle (the width of the rectangular base) and the height of the pyramid.
Let's say the height of the pyramid is given as h.
The area of each triangular face is given by the formula A = (1/2) * (base length) * (height).
So the total surface area (SA) of the rectangular pyramid is:
SA = Area of rectangular base + 4 * Area of each triangular face
= (l * w) + 4 * (1/2) * (w * h)
= lw + 2wh
Therefore, the surface area of the rectangular pyramid is lw + 2wh.