Find the surface area of a rectangular. Pyramid with these measurements length Is 8 cm width is 4 cm and height is 2 cm. Express your answer as a decimal rounded to the nearest hundred

Answer 1

The surface area of a rectangular pyramid can be calculated using the formula:
Surface Area = 2lw + l*sqrt((w/2)^2 + h^2) + w*sqrt((l/2)^2 + h^2)

Given:
Length (l) = 8 cm
Width (w) = 4 cm
Height (h) = 2 cm

Plugging in these values:
Surface Area = 2*8*4 + 8*sqrt((4/2)^2 + 2^2) + 4*sqrt((8/2)^2 + 2^2)
Surface Area = 64 + 8*sqrt(4 + 4) + 4*sqrt(16 + 4)
Surface Area = 64 + 8*sqrt(8) + 4*sqrt(20)
Surface Area = 64 + 8*2.83 + 4*4.47
Surface Area = 64 + 22.64 + 17.88
Surface Area = 104.52

Therefore, the surface area of the rectangular pyramid is approximately 104.52 cm².