CMIS 102

Exercises

Modify the adder.py program to calculate the perimeter and
area of a rectangle.  Have variables to store the width and height of
the rectangle.  Calculate the perimeter and assign it to an
appropriately named variable (hint: some name like "perimeter").
Calculate the area and assign it to a meaningfully named variable.
Output the results.


Bonus exercise:
Add a third dimension (i.e. depth) so the object is a rectangular box.
Calculate its volume.
Calculate its surface area.
Output the results.


Modify the allOperations.py to input the two numbers.


Write a program to compute gas mileage (MPG).
Input the miles driven and the amount of gas used to do so.
MPG = miles / gas


Body Mass Index formulas:
BMI = (Weight in Pounds / (Height in inches x Height in inches)) x 703
BMI =  Weight in Kilograms / (Height in Meters x Height in Meters)

Write a program that inputs weight and height in one or the other
system, or both, and outputs the BMI.
What's your BMI?  Normal:20-25, Overweight:25-30, Obese:>30


Convert a Fahrenheit temperature to Celsius:
Celsius = 5/9 * (Fahrenheit - 32)
Convert a Celsius temperature to Fahrenheit:
Fahrenheit = 9/5 * Celsius + 32
Test with 0C=32F  100C=212F


Future Value = P*(1+r/n)**(n*t)
P is present value  (principal)
r is interest rate (as decimal )
n is number of compoundings per year
t is years
To do exponentiation, use the ** operator.

Test with P=1000, r=.1, n=10, t=10.   FV should be 2704.81


Tetrahedron: Platonic/regular solid/polyhedron of 4 identical equilateral triangles.
Surface area = math.sqrt(3) * side**2
Volume = math.sqrt(2)/12 * side**3
Write a program that inputs the side length and outputs the tetrahedron's area and volume.
Test: s=1  SA=1.73205 V=0.117851
      s=10 SA=173.205 V=117.851


Hero's formula:
calculate area of triangle given lengths of its 3 sides a, b, and c.
area = square root of product of s, s-a, s-b, and s-c
where s is the semiperimeter, half the perimeter (sum of the 3 sides).
Tests: 3,4,5 ->6    1,1,1 ->0.4330     1,1,1.41421 ->0.5
1,1.41421,1.7320 ->0.70711     2,2,1 ->0.96826