Find the surface area of a rectangular pyramid with these measurements I equals 8 yards w equals 4 yd and 8 equals 2 yd 75 2.52 yd power to 43.31 yd power to 55.55 yards power 266 yards
To find the surface area of a rectangular pyramid, you need to know the length, width, and slant height. In this case, you provided "I," "w," and "8."
Since you didn't specify what "8" represents, I will assume it is the slant height.
To calculate the surface area, we need to find the area of each face and then sum them up.
The rectangular pyramid has five faces: the base and four triangular faces.
1. Calculate the area of the base:
The area of the base is given by the formula: base area = length * width.
base area = I * w
base area = 8 yd * 4 yd
base area = 32 yd²
2. Calculate the area of each triangular face:
The area of a triangle can be calculated using the formula: triangle area = 1/2 * base * height.
For each triangular face, we need to find the base and height.
a) Face 1:
Base = width = w = 4 yd
Height = slant height = 8 yd
triangle area 1 = 1/2 * 4 yd * 8 yd
triangle area 1 = 16 yd²
b) Face 2:
Base = length = I = 8 yd
Height = slant height = 8 yd
triangle area 2 = 1/2 * 8 yd * 8 yd
triangle area 2 = 32 yd²
c) Face 3:
Base = width = w = 4 yd
Height = slant height = 8 yd
triangle area 3 = 1/2 * 4 yd * 8 yd
triangle area 3 = 16 yd²
d) Face 4:
Base = length = I = 8 yd
Height = slant height = 8 yd
triangle area 4 = 1/2 * 8 yd * 8 yd
triangle area 4 = 32 yd²
3. Sum up the areas of all the faces:
Total surface area = base area + triangle area 1 + triangle area 2 + triangle area 3 + triangle area 4
Total surface area = 32 yd² + 16 yd² + 32 yd² + 16 yd² + 32 yd²
Total surface area = 128 yd² + 32 yd²
Total surface area = 160 yd²
Therefore, the surface area of the rectangular pyramid is 160 square yards.