Basic Math Examples

Step 1
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 , and and represent the slant height on the length and slant height on the width.
Step 2
Substitute the values of the length , the width , and the height into the formula for surface area of a pyramid.
Step 3
Simplify each term.
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Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 3.3
Divide by .
Step 3.4
Raise to the power of .
Step 3.5
Raise to the power of .
Step 3.6
Add and .
Step 3.7
Apply the product rule to .
Step 3.8
One to any power is one.
Step 3.9
Raise to the power of .
Step 3.10
Raise to the power of .
Step 3.11
To write as a fraction with a common denominator, multiply by .
Step 3.12
Combine and .
Step 3.13
Combine the numerators over the common denominator.
Step 3.14
Simplify the numerator.
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Step 3.14.1
Multiply by .
Step 3.14.2
Add and .
Step 3.15
Rewrite as .
Step 3.16
Simplify the denominator.
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Step 3.16.1
Rewrite as .
Step 3.16.2
Pull terms out from under the radical, assuming positive real numbers.
Step 3.17
Cancel the common factor of .
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Step 3.17.1
Factor out of .
Step 3.17.2
Cancel the common factor.
Step 3.17.3
Rewrite the expression.
Step 4
Calculate the approximate solution to decimal places.
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