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The base of a rectangular prism is a square with side lengths equal to 5 centimeters. The volume of the rectangular prism is 100 cubic centimeters. What is the prism's height? Explain?

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Answer:

Step-by-step explanation:

To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:

Volume = Length × Width × Height

In this case, the base is a square with side lengths of 5 centimeters, so both the length and width are 5 centimeters.

Given that the volume of the rectangular prism is 100 cubic centimeters, we can set up the equation:

100 = 5 × 5 × Height

Now, we can solve for the height:

100 = 25 × Height

To isolate Height, divide both sides by 25:

Height = 100 / 25

Height = 4

So, the height of the rectangular prism is 4 centimeters.

Step-by-step explanation:

The volume of a rectangular prism is determined by multiplying its length, width, and height. In this case, we know the volume and the dimensions of the base (length and width). By rearranging the formula, we can solve for the height of the prism. When we plug in the values, we find that the height is 4 centimeters.

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