Difficulty: Medium

Average Score: 70%

How does the density of a small object compare to the density of a larger object made of the same material?

Rationale

The density of the small object is equal to that of the large object.

Density is defined as mass per unit volume, and for objects made of the same material, the density remains constant regardless of size. Thus, both the small and large objects, having the same material composition, will exhibit identical density values.

A (The density of the small object is less than that of the large object.) YOUR ANSWER

This statement is incorrect because density is an intrinsic property of a material and does not change with the size of the object. Both objects, regardless of their size, will have the same density if they are made from the same material.

B (The density of the small object is equal to that of the large object.) CORRECT

This is the correct answer, as density is a characteristic property of a substance. Since both objects are made of the same material, their densities will be identical, irrespective of their size differences.

C (The density of the small object is greater than that of the large object.) YOUR ANSWER

This option is incorrect because density does not depend on the size of the object. A smaller object made from the same material as a larger object will not have a greater density; both will have the same density.

D (It cannot be determined without knowing the shapes of the two objects.) YOUR ANSWER

While the shape can affect the volume of an object, it does not influence the density if both objects are made of the same material. Since density is a ratio of mass to volume, the shapes do not change the fact that the densities remain equal.

Conclusion

In summary, the density of objects made from the same material is consistent, irrespective of their size. Both the small and large objects share the same density, affirming that density is an inherent property of the material itself, unaffected by the dimensions of the object.

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