A square pyramid has
a base edge of 8 inches
and a surface area of 304
square inches. Find the
Slant height of the
pyramid.

Respuesta :

The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

What is the Surface Area of a Square Pyramid?

Surface area (SA) = a² + 2al

Given the following parameters:

  • Surface area = 304 sq. in.
  • a = 8 in.
  • l = ? (slant height)

Plug in the values into (SA) = a² + 2al:

304 = 8² + 2(8)l

304 = 64 + 16l

304 - 64 = 16l

240 = 16l

240/16 = l

15 = l

l = 16

Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

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