Question

The formula for the density of an object is d=frac{m}{V},d= V m ​ , where mm is the mass and VV is the volume. Solve the formula for mm in terms of dd and V.V.

Answer 1

The formula for mm in terms of dd and V.V
`\( m = d * V \)`

Step-by-step explanation:

To solve the density formula
`\( d = (m)/(V) \)` for m , we can multiply both sides of the equation by V . This gives us the equation
`\( m = d * V \)`, where m represents the mass, d is the density, and V denotes the volume. This rearrangement allows us to isolate the mass variable on one side of the equation, making it easier to calculate the mass of an object when given its density and volume.

In the original formula, density d is defined as the ratio of mass m to volume V . By multiplying both sides of the equation by volume V , we effectively undo the division and isolate the mass term.

This manipulation of the formula provides a straightforward way to express mass in terms of density and volume, facilitating practical applications in various scientific and engineering contexts.