Ontario Mathematics Proficiency Practice Test

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Which formula represents the volume of a rectangular prism?

Volume = base × height

Volume = length × width

Volume = length × width × height

The volume of a rectangular prism is determined by multiplying its three dimensions: length, width, and height. When you multiply these three measurements together (length × width × height), you obtain the total space occupied by the prism.

Understanding this concept is crucial for solving problems related to volume in geometry, as it applies to any rectangular solid. Each dimension contributes to how "large" the prism is in three-dimensional space. Thus, by multiplying all three dimensions, you ensure that the resulting volume accurately reflects the extent of space within the prism.

Other formulas, such as those involving only two dimensions, do not account for the full three-dimensional volume and would only provide measurements of area or other aspects unrelated to volumetric space. The formula that includes all three dimensions is essential for obtaining the correct volume of a rectangular prism.

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Volume = 2(length + width + height)

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