# Pre-Algebra 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.
Step 3.1
Multiply by .
Step 3.2
Apply the product rule to .
Step 3.3
Raise to the power of .
Step 3.4
Raise to the power of .
Step 3.5
Raise to the power of .
Step 3.6
To write as a fraction with a common denominator, multiply by .
Step 3.7
Combine and .
Step 3.8
Combine the numerators over the common denominator.
Step 3.9
Simplify the numerator.
Step 3.9.1
Multiply by .
Step 3.9.2
Step 3.10
Rewrite as .
Step 3.11
Simplify the denominator.
Step 3.11.1
Rewrite as .
Step 3.11.2
Pull terms out from under the radical, assuming positive real numbers.
Step 3.12
Apply the product rule to .
Step 3.13
Raise to the power of .
Step 3.14
Raise to the power of .
Step 3.15
Raise to the power of .
Step 3.16
To write as a fraction with a common denominator, multiply by .
Step 3.17
Combine and .
Step 3.18
Combine the numerators over the common denominator.
Step 3.19
Simplify the numerator.
Step 3.19.1
Multiply by .
Step 3.19.2