the density of an object is .835 g/cm³. if its volume is 34 cm³, what is the mass of the object? (density…

the density of an object is .835 g/cm³. if its volume is 34 cm³, what is the mass of the object? (density: $d = \\frac{m}{v}$)\n○ .02 g\n○ .41 g\n○ 28.39 g\n○ 40.72 g

the density of an object is .835 g/cm³. if its volume is 34 cm³, what is the mass of the object? (density: $d = \\frac{m}{v}$)\n○ .02 g\n○ .41 g\n○ 28.39 g\n○ 40.72 g

Answer

Explanation:

Step1: Recall the density formula

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

Step2: Substitute the given values

We know that ( D = 0.835\space g/cm^{3} ) and ( v=34\space cm^{3} ). Substituting these values into the formula for ( m ), we get ( m=0.835\times34 ).

Step3: Calculate the product

Calculating ( 0.835\times34 ): [ \begin{align*} 0.835\times34&=(0.8 + 0.035)\times34\ &=0.8\times34+0.035\times34\ &=27.2+ 1.19\ &=28.39 \end{align*} ]

Answer:

28.39 g (corresponding to the option "28.39 g")