Find the surface area of the right square pyramid. Round your answer to the nearest hundredth.

Accepted Solution

ANSWERC. 145.75 yd²EXPLANATIONFirst we need to calculate the area of the four triangular faces.The lateral surface area[tex] = 4 \times \frac{1}{2} \times 5.3 \times 11.1[/tex][tex] = 117.66 {yd}^{2} [/tex]The area of the base is [tex] = 5.3 \times 5.3[/tex][tex] = 28.09[/tex]To find the total surface area, we add the area of the square base to the area of the 4 triangular faces.Therefore the total surface area is[tex] = 117.66 + 8.09 = 145.75 {yd}^{2} [/tex]