Question

a gold nugget has a density of 38.6 g/cm³ and a mass of 270.2. what is its volume? this problem is a little different. it gives you the density and the mass. you need to find the volume. we need to rearrange the formula d = m/v. move the volume and density to the o side: v = m/d. solution:

Explanation:

Step1: Recall density formula

The density formula is \( D=\frac{m}{v} \), where \( D \) is density, \( m \) is mass, and \( v \) is volume. We need to solve for \( v \), so rearrange the formula to \( v = \frac{m}{D} \).

Step2: Substitute values

Given \( D = 38.6\space g/cm^3 \) and \( m = 270.2\space g \) (assuming the mass unit is grams as density is in \( g/cm^3 \)), substitute into the formula: \( v=\frac{270.2}{38.6} \).

Step3: Calculate the result

Perform the division: \( \frac{270.2}{38.6}=7 \).

Answer:

The volume of the gold nugget is \( 7\space cm^3 \).