# Find the Surface Area pyramid (8.5)(8.5)(12.2) h=8.5l=12.2w=8.5
The surface area of a pyramid is equal to the sum of the areas of each side of the pyramid. The base of the pyramid has area lw, and sl and sw represent the slant height on the length and slant height on the width.
(length)⋅(width)+(width)⋅sl+(length)⋅sw
Substitute the values of the length l=12.2, the width w=8.5, and the height h=8.5 into the formula for surface area of a pyramid.
12.2⋅8.5+8.5⋅(12.22)2+(8.5)2+12.2⋅(8.52)2+(8.5)2
Simplify each term.
Multiply 12.2 by 8.5.
103.7+8.5⋅(12.22)2+(8.5)2+12.2⋅(8.52)2+(8.5)2
Divide 12.2 by 2.
103.7+8.5⋅6.12+(8.5)2+12.2⋅(8.52)2+(8.5)2
Raise 6.1 to the power of 2.
103.7+8.5⋅37.21+(8.5)2+12.2⋅(8.52)2+(8.5)2
Raise 8.5 to the power of 2.
103.7+8.5⋅37.21+72.25+12.2⋅(8.52)2+(8.5)2
Add 37.21 and 72.25.
103.7+8.5⋅109.46+12.2⋅(8.52)2+(8.5)2
Multiply 8.5 by 109.46.
103.7+88.92966321+12.2⋅(8.52)2+(8.5)2
Divide 8.5 by 2.
103.7+88.92966321+12.2⋅4.252+(8.5)2
Raise 4.25 to the power of 2.
103.7+88.92966321+12.2⋅18.0625+(8.5)2
Raise 8.5 to the power of 2.
103.7+88.92966321+12.2⋅18.0625+72.25
Add 18.0625 and 72.25.
103.7+88.92966321+12.2⋅90.3125
Multiply 12.2 by 90.3125.
103.7+88.92966321+115.94012463
103.7+88.92966321+115.94012463
Simplify by adding numbers.
Add 103.7 and 88.92966321.
192.62966321+115.94012463
Add 192.62966321 and 115.94012463.
308.56978785
308.56978785
Calculate the approximate solution to 4 decimal places.
308.5698
Find the Surface Area pyramid (8.5)(8.5)(12.2)

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