If the volume of an object were to double while its mass stays the same,its density would
A)halve.
B)double.
C)stay the same.
D)become four times as great.

Question

Quizplus · Accepted Answer

Density is defined as mass divided by volume (D=m/v). If the mass stays the same while the volume doubles, the density will decrease. This is because the same amount of mass is occupying a larger volume, so the particles are more spread out and there is less mass per unit volume. Mathematically, if we keep the mass the same and double the volume, the density becomes:

D= mass / (2*volume)

D= mass / (original volume + original volume)

D= mass / 2(original volume)

D= (1/2) * (mass/original volume)

Therefore, the density has halved.

If the Volume of an Object Were to Double While