Question

a student is comparing the physical properties of two cubes made of different materials. she measures the mass and volume.

• cube a: mass = 400 g, volume = 100 cm³
• cube b: mass = 500 g, volume = 200 cm³

the student wants to determine which cube is denser. based on the data, which cube would the student choose?
d = m/v
the answer can not be determined.
cube b
cube a
both cubes are equally dense.

Explanation:

Step1: Calculate density of Cube A

$D_A=\frac{m_A}{V_A}=\frac{400\ g}{100\ cm^3} = 4\ g/cm^3$

Step2: Calculate density of Cube B

$D_B=\frac{m_B}{V_B}=\frac{500\ g}{200\ cm^3}=2.5\ g/cm^3$

Step3: Compare densities

Since $4\ g/cm^3>2.5\ g/cm^3$, Cube A is denser.

Answer:

C. Cube A