Question

question 1 - 16
a student is comparing the physical properties of two cubes made of different materials. she measures the mass and volume of each cube and records the data below.

• 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
cube b
the answer can not be determined
both cubes are equally dense
cube a

Explanation:

Step1: Calculate density of Cube A

Density formula \(D = \frac{m}{V}\). For Cube A, \(m = 400\ g\), \(V=100\ cm^{3}\). So \(D_A=\frac{400}{100}=4\ g/cm^{3}\)

Step2: Calculate density of Cube B

For Cube B, \(m = 500\ g\), \(V = 200\ cm^{3}\). So \(D_B=\frac{500}{200}=2.5\ g/cm^{3}\)

Step3: Compare densities

Since \(4>2.5\), \(D_A>D_B\)

Answer:

Cube A