1. Application Problems
Note: Because we can’t find any application problems on multiplying and dividing rational expressions, these problems are on simplifying rational expressions.

2. Problem #1
For each figure, find the ratio of the volume to the area of the base.
Sphere
Cube
Square Pyramid
Area of Base
πr2
Volume
⁴⁄₃πr³
(1/3)s²h
Surface Area
4πr2
s² + 2sl
Simplify!
Simplify!
Simplify!
Sphere:
Simplify!
Simplify!
Cube:
Square
Pyramid:
Simplify!
Simplify!

3. Problem #2
For each figure, find the ratio of the surface area to the volume.
Sphere
Cube
Square Pyramid
Area of Base
πr2
Volume
⁴⁄₃πr³
(1/3)s²h
Surface Area
4πr2
s² + 2sl
Sphere:
Simplify!
Simplify!
Simplify!
Simplify!
Cube:
Square
Pyramid:
Factor!
Simplify!

4. Now You Try!
An archery target consists of an inner circle and 6 concentric rings. The width of each ring is equal to the radius r of the inner circle. Write the expression that represents the probability of the arrow hitting the inner circle. Then simplify.
If you want to know how to solve this problem, then watch the video on our website.
The solution for this problem can be found in the resources page on our website.