Question

Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm deep.

(1 gallon = 231 in3, 1 inch = 2.54 cm)
hich of the following scenarios will happen?

The paint will not fill the tray by 441 cm3.
The paint will not fill the tray by 10.53 in3.
The paint will fill the tray exactly.
The paint will overfill the tray by 10.53 in3.

Answer 1

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 2

The answer is:

The paint will overfill the tray by 10.53 in3 (cubic inches).

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=
`(4)/(2.54) =1.575` in

Volume=
`10*14*1.57=220.5` 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).