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

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

• A. Area x Height
• B. πr²
• C. Length x Width x Height
• D. r³

Answer: (C)

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.

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.