What formula represents the volume of a cube?

What formula represents the volume of a cube?

• A. side x side
• B. side x side x side
• C. pi x radius^2
• D. length x width x height

Answer: (B)

The formula for the volume of a cube is derived from the fact that a cube has equal sides. Since a cube is defined as a three-dimensional shape where all sides have the same length, the volume can be calculated by multiplying the length of one side by itself three times. This can be expressed mathematically as side x side x side, which can also be written as side³. The other formulas represent different geometric calculations. The formula side x side represents the area of a square, while pi x radius² pertains to the area of a circle. Lastly, length x width x height is the formula for the volume of a rectangular prism, which requires three different dimensions rather than the equal dimensions found in a cube. This is why the correct representation of the volume of a cube is side x side x side.

The formula for the volume of a cube is derived from the fact that a cube has equal sides. Since a cube is defined as a three-dimensional shape where all sides have the same length, the volume can be calculated by multiplying the length of one side by itself three times. This can be expressed mathematically as side x side x side, which can also be written as side³.

The other formulas represent different geometric calculations. The formula side x side represents the area of a square, while pi x radius² pertains to the area of a circle. Lastly, length x width x height is the formula for the volume of a rectangular prism, which requires three different dimensions rather than the equal dimensions found in a cube. This is why the correct representation of the volume of a cube is side x side x side.