# 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

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

Add and .

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

Add and .

Step 3.20

Rewrite as .

Step 3.21

Simplify the denominator.

Step 3.21.1

Rewrite as .

Step 3.21.2

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

Step 4

Calculate the approximate solution to decimal places.