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The ratio of the volumes of two similar rectangular prisms is 125 : 64. What is the ratio of
their base areas?
a. 25:16 c. 4:5
b. 25:4 d. 5:4

Sagot :

Misspancitcantonidn

Answer:

a. ‌25:16‌

The ratio of their base areas is ‌25:16‌.

Step-by-step explanation:

Finding the Ratio of the Base Areas of Similar Rectangular Prism

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

The ratio of the base areas is 25:16.

To know more about rectangular prism, visit the links.

What is a rectangular prism?

https://brainly.ph/question/107560

Surface area and volume of a rectangular prism:

https://brainly.ph/question/2305063

https://brainly.ph/question/2739876

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