The first step is to convert all the measurements from mixed numbers to fractional numbers, this way:
[tex]\begin{gathered} 10\frac{1}{2}=10+\frac{1}{2}=\frac{20}{2}+\frac{1}{2}=\frac{21}{2} \\ 10=10 \\ 12\frac{1}{3}=12+\frac{1}{3}=\frac{36}{3}+\frac{1}{3}=\frac{37}{3} \end{gathered}[/tex]To find the number of cubic inches that are needed to fill the tank, find the volume of it.
The volume of a rectangular prism is given by the following formula:
[tex]\begin{gathered} V=l\cdot w\cdot h \\ V=\frac{21}{2}\cdot10\cdot\frac{37}{3} \\ V=1295 \end{gathered}[/tex]1295 cubic inches of water are needed to fill the tank.
