Question

The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent

equation solved for V?

Answer 1

`V=(m)/(d)`

Explanation:

Given:

Density of the object is 'd'.

Mass of the object is 'm'.

Volume of the object is 'V'.

Now, density in terms of 'm' and 'V' is given as:

`d=(m)/(V)`

Now, in order to find an equivalent equation in terms of 'V', we rearrange the given equation and express it in terms of 'V'.

Therefore, we multiply 'V' on both sides. This gives,

`d* V=(m)/(V)* V\\d* V=(m* V)/(V)\\d* V= m`

Now, we divide both sides by 'd'. This gives,

`(d* V)/(d)=(m)/(d)\\\\V=(m)/(d)`

Hence, an equivalent equation solved for 'V' is
`V=(m)/(d)`