Find the surface area of rectangular pyramid with these measurements: l = 8 yd, w = 4 yd, and h = 2 yd.
1. 72.52 yd.^2
2. 276 square yards
3. 320 ft.^2
4. 55.75 in.^2
5. area of a triangle
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The formula for the surface area of a rectangular pyramid is given by:
SA = lw + lh + wh + A
where l is the length, w is the width, h is the height, and A is the area of the base.
Given that l = 8 yd, w = 4 yd, and h = 2 yd, we can calculate the surface area as follows:
First, calculate the area of the base (A) by multiplying the length and width:
A = lw = 8 yd * 4 yd = 32 yd^2
Then, substitute the values into the surface area formula:
SA = (8 yd * 4 yd) + (8 yd * 2 yd) + (4 yd * 2 yd) + 32 yd^2
SA = 32 yd^2 + 16 yd^2 + 8 yd^2 + 32 yd^2
SA = 88 yd^2
Therefore, the surface area of the rectangular pyramid is 88 yd^2.
Unfortunately, none of the given options match the correct answer.