Hello, could someone help me with the following question. I will post the word document in the reply to this post. The answer is shown, but I don't understand how it was obtained. V-remaining= s^2*h. I used the above equation and got 0.0109 cm for the answer.

Question

Hello, could someone help me with the following question.  I will post the word document in the reply to this post. The answer is shown, but I don't understand how it was obtained.  V-remaining= s^2*h.  I used the above equation and got 0.0109 cm for the answer.

anonymous · Answer

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directrix · Answer

The gasoline tank is a rectangular solid with a square base and height h. When the volume of the remaining gasoline is 1.4 Liters, the shape the gasoline takes remains that of a rectangular solid.
V = Bh where B is the area of the square base and h is the depth of the gasoline with only 1.4 Liters in the tank.
1.4 Liters = (68 cm)(68cm) * h
One liter is equal to 1000 cubic centimeters in volume.
Therefore,
1.4 (1000) cubic centimeters = 4624 square centimeters * h centimeters
1400 cubic centimeters = 4624 square centimeters * h centimeters
(1400 cubic centimeters) / (4624 square centimeters) = h
.302 centimeters = h
The depth of the gasoline in the rectangular tank is .302 centimeters.

directrix · Answer

V-remaining= s^2*h is the equation where (s^2) is the area of the square base and h is the height of the remaining gasoline. The difficulty with this problem lies with the conversion of units of volume measure for those (like me) who are only slightly familiar with the metric system.

anonymous · Answer

Thank you that was very helpful.