Final answer:
To find the volume using the density formula, the formula is rearranged to volume equals mass divided by density (v = m/d). This allows you to calculate the volume of an object when you have its mass and density.
Step-by-step explanation:
Rearranging the Density Formula to Find Volume
If you're trying to find the volume based on the density formula, you need to rearrange the standard density equation. Density is defined as mass divided by volume, usually expressed as d = m/v, where d is density, m is mass, and v is volume. If you're given the mass and the density of an object and need to find its volume, you rearrange the formula to solve for volume: v = m/d. This essentially means that the volume is equal to the mass of the object divided by its density.
Using this rearranged formula, if you know the mass of a sample and its density, you can find out how much space that sample takes up. This calculation is critical in situations where the volume cannot be measured directly, but the mass can be measured, for example, by weighing. Once you have the volume, you can use it in further scientific calculations, or to determine if an object will float or sink in a given fluid.
It's important to use consistent units when performing these calculations. For example, if mass is in grams and density is in grams per cubic centimeter, the resulting volume will be in cubic centimeters.