Question

A fish tank in the shape of a rectangular prism has these dimensions:length = 20 incheswidth = 10 inchesheight = 12 inchesWhat is the volume of water in the tank when it is4/5full?

Answer 1

First, determine the maximum water capacity of the tank, to do so, you have to calculate its volume using the formula:

`V=l\cdot w\cdot h`

The tank has a length of l=20in, a width of w=10in, and a height of h=12in, you can calculate the volume as follows:

`\begin{gathered} V=20\cdot10\cdot12 \\ V=200\cdot12 \\ V=2400im^3 \end{gathered}`

Second, the tank is filled up to 4/5 of its capacity, to determine how much water 4/5 represent, you have to multiply the volume of the tank by the said fraction:

`2400\cdot(4)/(5)=1920in^3`

When the tank is filled at 4/5 of its capacity, the volume of water is 1920in³