Question

A toy company was producing blocks for a new game. They use plastic that is generated using natural carbon-based compounds like cellulose, coal, and crude oil. Two different shapes are each made from cubes stuck together as shown.

If all the cubes are composed of the exact same pure substance, how do the objects compare in mass, volume, and density?
A. Object 1 has greater mass and density, but both have the same volume.
B. Object 1 has greater volume and mass, but both have the same density.
C. There is not enough information to compare mass and volume, but both have the same density.
D. Object 1 has greater volume and density, but both have the same mass.

Answer 1

The objects compare in mass, volume, and density (D) Object 1 has greater volume and density, but both have the same mass.

Step-by-step explanation:

If the cubes are composed of the exact same pure substance, the mass is directly proportional to the volume since density (mass/volume) remains constant for the same substance. Object 1 appears to have more cubes, indicating a greater volume, but as they are composed of the same substance, the mass remains the same for both objects. Therefore, option D correctly states that Object 1 has a greater volume and density, but both have the same mass.

Understanding the relationship between mass, volume, and density is key. In this case, since the substance is the same, any difference in mass is reflective of the difference in volume.

Option D is correct.