SOLUTION: 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 th
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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? Write the answer in terms of feet and inches, rounding to the nearest tenth of an inch.
You can put this solution on YOUR website! 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 =
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 = 10 cu ft
