Question

Connelly cuts a solid object in half. What happens to the mass, volume, and density of the object that Connelly cuts? A)The mass and volume are both divided by two, and the density is divided by four. B) The volume is divided by two, but the mass and density do not change. C) The physical properties of the substance change, and all three properties must be re-measured. D) The mass and volume are both divided by two, but the density remains the same.

Answer 1

I think the correct answer would be D. After cutting the solid object in half, the mass and volume are both divided by two, but the density remains the same. The mass and volume would change accordingly to satisfy the law of conservation of mass which states that mass cannot be created or destroyed. So, after dividing the object the sum of the mass of the two parts should be equal to the original mass of the object. This would also be the same for the volume of the objects. Density is the ratio of mass and volume and, since the mass and volume change accordingly, the value of the density would still be the same regardless of the object being divided.