define "volume" in a mathematical sense

In a mathematical sense, "volume" refers to the measure of space occupied by a three-dimensional object. It is a quantitative measurement used to describe the amount of space an object takes up. Volume is typically measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³), and is calculated differently depending on the shape of the object. For instance, the volume of a cube is determined by multiplying the length, width, and height of the cube, while the volume of a sphere is calculated using the formula 4/3πr³, where "r" represents the radius of the sphere.

use simpler terms

In simpler terms, "volume" in math is a way to measure how much space an object takes up. It tells us how much room an object occupies in three dimensions. For example, if we think of a box, the volume helps us understand how much stuff can fit inside. When measuring volume, we use cubic units like cubes or blocks to count how many of those units fill up the object. The shape of the object determines the specific formula used to calculate its volume.