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The volume of a rectangular prism is given by the relations V = 15m + m²- 2m.

a) Determine expressions for the possible dimensions of this prism

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Final answer:

To determine the expressions for the possible dimensions of the rectangular prism, we can substitute V = length x width x height in the given volume equation. Then factor out the common term 'm' to find the possible dimensions.

Step-by-step explanation:

To determine the expressions for the possible dimensions of the rectangular prism, we can use the given volume equation V = 15m + m² - 2m. We know that the volume of a rectangular prism is given by V = length x width x height. So we can replace V with length x width x height in the equation.

15m + m² - 2m = length x width x height

Now, we can factor out the common term 'm' from the equation:

m(15 + m - 2) = length x width x height.

Therefore, the possible dimensions of the rectangular prism are (15 + m - 2) for the length, m for the width, and m for the height.

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