SOLUTION: Dan poured 5 cups of water into a rectangular container measuring 8 inches long by 6 inches wide by 7 centimeters high. (1 cup = 14.44 cubic inches, 1 inch = 2.54 cm) What is the m

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: Dan poured 5 cups of water into a rectangular container measuring 8 inches long by 6 inches wide by 7 centimeters high. (1 cup = 14.44 cubic inches, 1 inch = 2.54 cm) What is the m      Log On

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Question 822004: Dan poured 5 cups of water into a rectangular container measuring 8 inches long by 6 inches wide by 7 centimeters high. (1 cup = 14.44 cubic inches, 1 inch = 2.54 cm) What is the maximum volume of water that the rectangular container can hold? How many cubic inches of water was poured into the container? What was the height of the water in the container? Show work.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
THE RECTANGULAR CONTAINER:

(This is the maximum volume it can hold).

The five cups was how much volume in cubic inches?
5%2Acups%2814.44%2Ainch%5E3%2F%281%2Acups%29%29
'
Without yet computing that volume, a formula to use the height of the liquid in the rectangular container can be formulated; using h for the height of the liquid:

5%2Acups%2814.44%2Ainch%5E3%2F%281%2Acups%29%29=8%2A6%2Ah, and the units of h is INCHES.
Without showing units,
5%2A14.44=8%2A6%2Ah
highlight%28h=%285%2A14.44%29%2F%288%2A6%29%29
It is your choice if you want to convert this into centimeters.