Aurora engineering needs to paint only the front of the part above. a dimensioned front view can be used to determine the surface area to be painted. each pint of paint covers 750 square inches. assume that no overage or spillage is included in the calculation. what is the minimum number of pints aurora engineering will need to purchase to paint 1500 parts?

The picture in the attached figure

divide the area of the front in 4 parts
A=2*A1+A2+A3-A4

step 1
find the Area 1 (rectangle below)
A1=b1 h1b1= 1 inch; h1=2 inches
A1=(1 inch)(2 inches)
A1=2 inches²

step 2
find the Area 2 (rectangle above)
A2=b2 h2
b2=3 inches; h2=2 inches
A2=(3 inches)(2 inches)
A2=6 inches²

step 3
find the Area 3 (semi circle)
A3=pi r²/2
p1=3.1416; r=1.5 inches
A3=3.1416 (1.5 inches)²/2
A3=3.1416 (2.25 inches²)/2
A3=3.5343 inches²

step 4
find the Area 4 (area of the circle)
A4=pi d²/4
pi=3.1416; d=1.5 inches
A4=3.1416 (1.5 inches)²/4
A4=3.1416 (2.25 inches²)/4
A4=1.767 inches²

A=2*A1+A2+A3-A4
A=2*(2 inches²)+6 inches²+3.5343 inches²-1.767 inches²
A=11.7673 inches²

To paint 1500 parts, the total area is:
At=1500*A
At=1500*(11.7673 inches²)
At=17,650.95 inches²

Each pint of paint covers 750 inches²
Number of pints:
n=17,650.95 inches²/ 750 inches²
n=23.53
Rounded to the nearest integer:
n=24

the answer is
The minimum number of pints Aurora engineering will need to purchase to paint 1500 parts is 24.