Find the surface area of a rectangular pyramid with these measurements length equals 8 yards width equals 4 yards and height equals 2 yards
To find the surface area of a rectangular pyramid, we need to find the areas of each of the faces and then sum them up.
The rectangular pyramid has 5 faces: the base and 4 triangular faces.
The base of the pyramid is a rectangle with dimensions 8 yards by 4 yards. The area of the base is length times width, so the area of the base is 8 yards * 4 yards = 32 square yards.
Each triangular face has a base that is equal to the width of the rectangle (4 yards) and a height that is equal to the height of the pyramid (2 yards). The area of a triangle is equal to half the base times the height, so the area of each triangular face is (1/2) * (4 yards) * (2 yards) = 4 square yards.
There are 4 triangular faces, so the total area of the triangular faces is 4 triangular faces * 4 square yards = 16 square yards.
The surface area of the rectangular pyramid is the sum of the areas of the base and the triangular faces, so the total surface area is 32 square yards (area of the base) + 16 square yards (area of the triangular faces) = 48 square yards.
Therefore, the surface area of the rectangular pyramid is 48 square yards.