Answer:
Step-by-step explanation:
We know that the formula in finding the volume of a rectangular prism is area of the base times height.
To get the area of the base, it is length times width.
Therefore, volume of a rectangular prism becomes length times width times height.
Based on its formula, we can tell that ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.
Going back to the problem above, the ratio of their volumes is 125:64, to find the ratio of their corresponding sides we need to take the cube root.
∛125 = 5
∛64 = 4
Therefore, the ratio of their corresponding sides is 5:4.
Since the base area is equal to length times width, we need to square the ratio.
5² = 25
4² = 16
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