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.
