Question

which statement is true of two objects with the same density?
a they have the same volume.
b they have the same mass.
c they have the same mass to volume ratio.
d they have the same length to width ratio.
check it

Explanation:

Density is defined as mass divided by volume, i.e., $
ho = \frac{m}{V}$. If two objects have the same density, then $\frac{m_1}{V_1} = \frac{m_2}{V_2}$, meaning their mass - to - volume ratios are equal.

• Option a: Two objects with the same density can have different volumes (e.g., a small and a large block of the same material).
• Option b: Two objects with the same density can have different masses (since mass depends on volume as well, $m=

ho V$; different volumes will lead to different masses if $
ho$ is the same).

• Option d: Length - to - width ratio is related to the shape of the object, not density.

Answer:

c. They have the same mass to volume ratio.