# Pre-Algebra Examples

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.

Substitute the values of the length , the width , and the height into the formula for surface area of a pyramid.

Multiply by to get .

Apply the product rule to .

Raise to the power of to get .

Raise to the power of to get .

Remove parentheses around .

Raise to the power of to get .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Multiply by to get .

Add and to get .

Rewrite using the quotient rule for radicals.

Simplify the denominator.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and to get .

Divide by to get .

Divide by to get .

Remove parentheses around .

One to any power is one.

Remove parentheses around .

Raise to the power of to get .

Add and to get .

Multiply by to get .

Calculate the approximate solution to decimal places.