# Find the Surface Area pyramid (10.8)(5)(10) h=10.8l=10w=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=10, the width w=5, and the height h=10.8 into the formula for surface area of a pyramid.
10⋅5+5⋅(102)2+(10.8)2+10⋅(52)2+(10.8)2
Simplify each term.
Multiply 10 by 5.
50+5⋅(102)2+(10.8)2+10⋅(52)2+(10.8)2
Divide 10 by 2.
50+5⋅52+(10.8)2+10⋅(52)2+(10.8)2
Raise 5 to the power of 2.
50+5⋅25+(10.8)2+10⋅(52)2+(10.8)2
Raise 10.8 to the power of 2.
50+5⋅25+116.64+10⋅(52)2+(10.8)2
Add 25 and 116.64.
50+5⋅141.64+10⋅(52)2+(10.8)2
Apply the product rule to 52.
50+5141.64+10⋅5222+(10.8)2
Raise 5 to the power of 2.
50+5141.64+10⋅2522+(10.8)2
Raise 2 to the power of 2.
50+5141.64+10⋅254+(10.8)2
Raise 10.8 to the power of 2.
50+5141.64+10⋅254+116.64
To write 116.64 as a fraction with a common denominator, multiply by 44.
50+5141.64+10⋅254+116.64⋅44
Combine 116.64 and 44.
50+5141.64+10⋅254+116.64⋅44
Combine the numerators over the common denominator.
50+5141.64+10⋅25+116.64⋅44
Rewrite 25+116.64⋅44 in a factored form.
Multiply 116.64 by 4.
50+5141.64+10⋅25+466.564
Add 25 and 466.56.
50+5141.64+10⋅491.564
Divide 491.56 by 4.
50+5141.64+10⋅122.89
50+5141.64+10122.89
50+5141.64+10122.89
Calculate the approximate solution to 4 decimal places.
220.3621
Find the Surface Area pyramid (10.8)(5)(10)

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