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How do you find the surface area of a pyramid with a square base?

To find the surface area, use this square pyramid surface area formula:

Square Pyramid Surface Area = 2 x B x S + B^{2}

B = Width of the Square Base

S = Slant length of one of the triangular faces and is calculated from

the height and base width by using the equation:

S= The square root of [(.5B)^{2 }+ Height^{2}]

Example: The surface area of a
regular square pyramid with base width

of 6 inches, and
height of 8 inches:

S= square root of (9 +64)

S= 8.544

Surface Area = 2 x 6 x 8.544 + 36

Calculated out this gives a surface area of 138.528 Square
Inches.

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