Question

A fish tank is a right rectangular prism that is 10 1/2 in. long10 in. wide, and 12 1/3 in. tall. How many cubic inches of water are needed to fill the tank?

Answer 1

The first step is to convert all the measurements from mixed numbers to fractional numbers, this way:

`\begin{gathered} 10(1)/(2)=10+(1)/(2)=(20)/(2)+(1)/(2)=(21)/(2) \\ 10=10 \\ 12(1)/(3)=12+(1)/(3)=(36)/(3)+(1)/(3)=(37)/(3) \end{gathered}`

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:

`\begin{gathered} V=l\cdot w\cdot h \\ V=(21)/(2)\cdot10\cdot(37)/(3) \\ V=1295 \end{gathered}`

1295 cubic inches of water are needed to fill the tank.