$2\mathrm{.}24$ Lab Exercise Ch $2$b: Painting a wall, with string

$(1)$ Your code is to be written and tested in Visual C$++,$ and Source.cpp should be uploaded to ZyLab to verify with its tests. If your $.$cpp file is NOT named source, do a "save as$"$ source.cpp before uploading.

Prompt the user to input a paint color, and save that in a string variable. Also prompt the user for the wall's height and width. Calculate and output the wall's area. $(1$ pt$)$

Note: This zyLab outputs a newline after each user$-$input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.

$```$

Enter paint color:

green

Enter wall height $($feet$)$:

$12$

Enter wall width $($feet$)$:

$15$

Wall area: $180$ square feet

$```$

$(2)$ Extend to also calculate and output the color and the amount of paint in gallons needed to cover the wall. Assume a gallon of paint covers $350$ square feet. Store this assumed coverage in a const double variable. $(1$ pt $)$

$```$

Enter paint color:

green

Enter wall height $($feet$)$:

$12$

Enter wall width $($feet$)$:

$15$

Wall area: $180$ square feet

Needed: $0\mathrm{.}514286$ gallons of green paint

$```$

$(3)$ Extend to also calculate and output the number of $1$ gallon cans needed to paint the wall. Hint: Use a math function from the cmath library to round up to the nearest gallon. $(1$ pt$)$

$```$

Enter paint color:

red

Enter wall height $($feet$)$:

$12$

Enter wall width $($feet$)$:

$15$

Wall area: $180$ square feet

Needed: $0\mathrm{.}514286$ gallons of red paint

Cans needed: $1$ can$($s$)$

$```$