well, the tray is 10"x14"x4cm ok.... let's convert the centimeters to inches then
[tex]\bf \begin{array}{ccllll}
inches&cm\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&2.54\\
x&4
\end{array}\implies \cfrac{1}{x}=\cfrac{2.54}{4}\implies \boxed{\cfrac{4}{2.54}=x}
\\\\\\
\textit{thus, the volume of the tray, which is a rectangular prism, is}\\\\
V=length\cdot width\cdot height\implies V=10in\cdot 14in\cdot \cfrac{4}{2.54}in
\\\\\\
V\approx 220.47244\ in^3[/tex]
now, we know 1gallon is 231in³... how many gallons then, are there in 220.47244 in³?
[tex]\bf \begin{array}{ccllll}
gallon&in^3\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&231\\
x&220.47244
\end{array}\implies \cfrac{1}{x}=\cfrac{231}{220.47244}\implies \cfrac{220.47244}{231}=x[/tex]
now, he's going to pour 1gallon of paint on this tray, will the tray take up the whole gallon?
