To find the surface area of a rectangular pyramid, we need to calculate the area of each face and then add them up.
First, let's calculate the area of the base (the rectangle). The formula for the area of a rectangle is length x width. In this case, the length (l) is 8 yd and the width (w) is 4 yd, so the area of the base is 8 yd x 4 yd = 32 yd².
Next, let's calculate the area of the four triangular faces. Since the pyramid is rectangular, we have two pairs of congruent triangles. The formula for the area of a triangle is 1/2 x base x height. In this case, the base and the height of each triangle are the same as the length and width of the base rectangle. So the area of each triangle is 1/2 x 8 yd x 4 yd = 16 yd². Since there are four triangular faces, the total area of the triangular faces is 4 x 16 yd² = 64 yd².
Finally, let's add up the areas of the base and the triangular faces to find the total surface area. 32 yd² + 64 yd² = 96 yd².
Therefore, the surface area of the rectangular pyramid is 96 yd².
Find the surface area of a rectangular pyramid with these measurements: l = 8 yd., w = 4 yd., and h = 2 yd
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