Question 401306
When 10 cubic feet of water is poured into an empty fish tank (a rectangular prism), the tank becomes ¾ full. 
If the tank is 2 feet 8 inches wide and 40 inches long, how tall is the tank?
:
Let's do this inches;
 2' 8" = 32 inches
10 cu ft = 17280 cu inches
:
let h = the height of the tank (in inches)
then
.75h = height of the water
:
Volume of the water
.75h * 40 * 32 = 17280
960h = 17280
h = {{{17280/960}}}
h = 18 inches is the height of the tank
that's 1 ft 6 inches
:
:
Check this, find the vol of water using .75(18) = 13.5'
13.5 * 40 * 32 = 17280 cu inches
{{{17280/1728}}} = 10 cu ft