Question
A container holds some water up to a height of 83 cm. When 2 identical rubber cubes are put into the container, the water level rises by 36 cm. One rubber cube is then removed from the tank, replaced by one iron cube. The water level increases to 136 cm.
  1. Find the ratio of the volume of 1 rubber cube to 1 iron cube.
  2. If the base area of the container is 168 cm², find the difference in the volume between the iron cube and the rubber cube.  Express your answer in cm³.
4 m
(a)

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(b)

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A container holds some water up to a height of 83 cm. When 2 identical rubber cubes are put into the container, the water level rises by 36 cm. One rubber cube is then removed from the tank, replaced by one iron cube. The water level increases to 136 cm.
  1. Find the ratio of the volume of 1 rubber cube to 1 iron cube.
  2. If the base area of the container is 168 cm², find the difference in the volume between the iron cube and the rubber cube.  Express your answer in cm³.