CMIS 102

Exercise

Modify the adder.cpp or avg2nums.cpp 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.cpp to input the two numbers.


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?


Celsius = 5/9 * (Fahrenheit - 32)
Fahrenheit = 9/5 * Celsius + 32


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 pow(base,exponent) function of cmath.
Limit the output to two decimal digits (i.e. two cents).
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 = sqrt(3) * side^2
Volume = 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