Answer:
Tray will overflow with [tex]10.53\ \text{inch}^3[/tex] of paint.
Step-by-step explanation:
Dimensions the tray is 10 inch by 14 inch by 4 cm
[tex]1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}[/tex]
[tex]4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}[/tex]
Volume the tray can hold is
[tex]10\times 14\times \dfrac{4}{2.54}\ \text{in}^3[/tex]
[tex]1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}[/tex]
The volume of paint Billy has is [tex]1\ \text{gallon}[/tex]
Difference in the volume of paint and volume of tray in cubic inches is
[tex]\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3[/tex]
The tray will overflow with [tex]10.53\ \text{inch}^3[/tex] of paint.
