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A rectangular prism has a base area of 54 m (to the 2nd power) and a volume of 702 m (to the 3rd power). What is its height?

User Rob Grzyb
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Answer:

13 meters.

Explanation:

We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

We are given that the base area (length x width) of the prism is 54 m², so we can write:

length x width = 54 m²

We are also given that the volume of the prism is 702 m³, so we can write:

Volume = length x width x height = 702 m³

We want to find the height of the prism, so we can rearrange the formula for the volume to solve for height:

height = Volume / (length x width)

Substituting the given values, we get:

height = 702 m³ / 54 m²

Simplifying this expression, we can divide both the numerator and the denominator by the greatest common factor of 54 and 702, which is 18:

height = (702/18) m / (54/18) m = 39 m / 3 m

height = 13 meters

Therefore, the height of the rectangular prism is 13 meters.

User Yashon Lin
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