Math Geometry?

Question

a rock is sunk in a rectangular fish tank that is 50 cm by 30 cm. If the rock raises the water level 3 cm, what is the volume of the rock?

Answer

You seem to be missing a measurement. Volume is a three-dimensional measurement.

To find the volume of the water in the fish tank (a right rectangular prism), you would need to multiply the length, width, AND height.

To find the volume of the rock, find the volume of the water in the tank before AND after putting the rock in, then subtract the first volume from the second.

Answer

According to the law of Archimedes, the volume of the rock is equal to the volume of the displaced water. Since the rectangular has a size of 50 cm by 30 cm, then the volume of displaced water must be 50 cm x 30 cm x 3 cm. That is, 4500 cm^3.

Answer

To prove it

50 &times; 30 = 1,500
1,500 &times; 3 = 4,500

Therefore, 4,500cm&sup3; is your answer. Don't forget to add the "&sup3;" whenever you're doing centimeters.

Math Geometry?

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