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Multiple Choice
If two items are equal in size, the denser one will:
A
have the same mass
B
have a smaller mass
C
float more easily in water
D
have a greater mass
Verified step by step guidance
1
Understand the relationship between density, mass, and volume. Density (\rho) is defined as mass (m) divided by volume (V), expressed as \(\rho = \frac{m}{V}\).
Since the two items are equal in size, they have the same volume (V).
If one item is denser, it means its density (\rho) is greater than the other, so \(\rho_1 > \rho_2\).
Using the formula \(m = \rho \times V\), for the same volume, the item with the greater density will have a greater mass.
Therefore, the denser item will have a greater mass compared to the less dense item of the same size.