Find the surface area of a rectangular pyramid with these measurements length equals 8 yards, with equals 4 yards and high equals 2 yards one point
To find the surface area of a rectangular pyramid, we need to find the area of each of its faces and then add them all up.
First, let's start by finding the area of the base. The base of the pyramid is a rectangle, so we can use the formula for the area of a rectangle: length × width. In this case, the length is 8 yards and the width is 4 yards. So, the area of the base is 8 yards × 4 yards = 32 square yards.
Next, let's find the area of the four triangular faces. Each triangular face has a base that is equal to the width of the base rectangle, which is 4 yards, and a height that is equal to the height of the pyramid, which is 2 yards.
The formula to find the area of a triangle is 1/2 × base × height. So, the area of each triangular face is 1/2 × 4 yards × 2 yards = 4 square yards.
Since there are four triangular faces, the total area of the triangular faces is 4 square yards × 4 faces = 16 square yards.
Finally, to find the total surface area of the pyramid, we add the area of the base and the area of the triangular faces: 32 square yards (base) + 16 square yards (triangular faces) = 48 square yards.
Therefore, the surface area of the rectangular pyramid is 48 square yards.