Question

A student is comparing two blocks. Block A has a mass of 28.45 g and a density of 8.8 g/cm^3. Block B has a mass of 92.2 g and a density of 7.14 g/cm^3.

Which block has a greater volume?

A: Block A.
B: Block B.
C: Both blocks have the same volume.
D: The volume cannot be determined from the given information.

Answer 1

By calculating the volume of Block A and Block B using the density formula, we find that Block B has a greater volume than Block A. The correct answer is B: Block B.

Step-by-step explanation:

To determine which block has a greater volume, we need to utilize the formula for density, which is mass divided by volume (density = mass/volume). Let's calculate the volume for each block:

• • Volume of Block A = Mass / Density = 28.45 g / 8.8 g/cm³ = 3.23 cm³
  • Volume of Block B = Mass / Density = 92.2 g / 7.14 g/cm³ = 12.91 cm³

Comparing the volumes calculated, Block B has a greater volume than Block A. Therefore, the correct answer is B: Block B.

In the context of blocks with the same volume, the relationship between mass and density is direct: as mass increases, so does density, and vice versa, provided the volume remains constant.