Question 257630: A glass box 7 x 12 x 18 cm, closed on all six sides, is partially filled with colored water. When the box is placed on one of its 7 x 12 sides, the water level is 15 cm above the table. If the box is placed on one of its 7 x 18 sides, what will be the water level above the table,in centimeters?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the glass box is 7*12*18 cm
when placed on 7 * 12 side, volume of the water is 7 * 12 * 15 = 1260 cubic cm.
when placed on 7 * 18 side, the volume of the water is still 1260 cubic cm.
let x = the height.
you get:
l * w * h = volume which becomes:
7 * 18 * x = 1260
solve for x to get x = 1260/(7*18) = 10 inches high.
that's your answer.
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