Which formula is valid for finding the volume of a cube?

Prepare for the Alberta Trade Entrance Exam with flashcards and multiple-choice questions, featuring hints and explanations. Ace your exam!

The formula for finding the volume of a cube is determined by the geometric properties of the shape. A cube has all sides of equal length, which we can call "s." Therefore, the volume of a cube can be calculated using the formula V = s × s × s, or simply V = s³.

In this context, length, width, and height all refer to the same measurement since the cube's dimensions are equal. Thus, when we say "Length x Width x Height," we are effectively calculating s x s x s, which ultimately gives us s³, the correct method for determining the volume of a cube.

The other formulas provided relate to different geometrical figures or dimensions and do not apply to cubes specifically. For example, the formula "Area x Height" is often used for finding the volume of a prism or cylinder, while "πr²" represents the area of a circle, and "r³" could signify the volume of a sphere when adjusted, but is not suitable for a cube. Therefore, "Length x Width x Height" is the appropriate and valid formula for calculating the volume of a cube.

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