find volume of tray:
convert 4cm to inches 4/2.54 = 1.575 inches
volume = 10*14*1.575 = 220.47 cubic inches
1 gallon = 231 cubic inches
231-220.47 = 10.53 more paint in a gallon
so the paint will over fill the tray by 10.53 in3
Answer:
The answer is:
The paint will overfill the tray by 10.53 in3 (cubic inches).
Step-by-step explanation:
In order to determine the correct option, first we have to get the volume of the tray.
The volume of the tray is a solid prism, where its formula is:
width=10 in
length=14 in
deep=4 cm=[tex]\frac{4}{2.54} =1.575[/tex] in
Volume=[tex]10*14*1.57=220.5[/tex] cubic inches
The value of the deep measure was changed from cm to inches units.
We subtract the allowed volume of the gallon with the volume tray:
231-220.5=10.5 cubic inches
It means that 1 gallon of paint is enough to paint the tray, where the remaining paint is 10.5 cubic inches.
Finally, the correct option is:
The paint will overfill the tray by 10.53 in3 (cubic inches).
