**The power of the dimension determines the size of the change in the volume value:**

**If a dimension in the volume formula is** **raised to a** **first power**, the volume changes by the same factor as the shape.

__For example:__ A rectangular pyramid volume formula is V=^{1}/_{3} lwh. The length, width and height in the formula are raised to a first power. If we double the length or the width or the height (one of them), then the volume will also be doubled.

**If a dimension in the volume formula is** **raised to a** **second power**, when the shape changes by a factor the volume changes by a square of the factor.

__For example:__ A right circular cone volume formula is V= ^{1}/_{3} πr^{2}h. The radius of the circle is raised to a second power. If we double the radius, the volume will change by 2^{2}=4. The height in the formula is raised to a first power. If we double the height, then the volume will also be doubled.

**If a dimension in the volume formula is** **raised to a third power**, when the shape changes by a factor the volume changes by a third degree of the factor.

For example: A sphere volume formula is ^{4}/_{3} πr^{3}. The radius of the sphere is raised to a third power. If we double the radius, the volume will change by 2^{3}=8.