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A square pyramid has a side of 10.2 dm and a slant height of 21.5 dm. What is the surface area?
a. 104.04 cm²
b. 490.62 cm²
C, 877.2 cm²
d. 981.24 cm2​


Sagot :

A square pyramid has a side of 10.2 dm and a slant height of 21.5 dm. What is the surface area?

a. 104.04 cm²

b. 490.62 cm²

C, 877.2 cm²

d. 981.24 cm2

Solution :

height h = 21.5 m

slant height s = 22.096606074237 m

side length a = 10.2 m

perimeter of base P = 40.8 m

lateral edge length e = 22.677521910473 m

1/2 side length r = 5.1 m

volume V = 745.62 m3

lateral surface area L = 450.77076391443 m2

base surface area B = 104.04 cm²

total surface area A = 554.81076391443 m2

Base Surface Area of a square pyramid (square):

  • B = a2