Difficulty: Medium

Average Score: 67%

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 is a property intrinsic to a material, meaning that objects made of the same substance will have the same density regardless of their size. Therefore, both the small and large objects, if composed of the same material, 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 depend on the size of the object. Both objects, being made from the same material, will have the same density, making this comparison invalid.

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

This is the correct answer as the density of both the small and large objects is determined solely by the material they are made from. Since they are composed of the same substance, their densities will be identical regardless of their size.

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

This option is inaccurate because density does not change with size. A smaller object made from the same material as a larger one will not exhibit a greater density; both will have the same density value.

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

While shape may affect volume, it does not influence the density of objects made from the same material. Density is calculated as mass divided by volume, and as long as the material is the same, density will remain constant, rendering this statement misleading.

Conclusion

In summary, density is an inherent property of materials that remains constant regardless of the size of the object. Therefore, both a small and a large object made from the same material will have equal densities. This principle is fundamental in material science and helps in understanding how various objects behave when composed of the same substances.

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