Question

Two blocks of metal each have a volume of 8 m3. One has a density of 680 kg/m3, and the other has a density of 840 kg/m3. What is the difference in mass between the two blocks in kg?

Answer 1

The difference in mass between the two blocks is 1280 kg.

Explanation:

We know that density equals the quotient of mass and volume:

Density = Mass / Volume

D = M/V

• Since we know the densities and volume of both blocks, we can determine their masses and then find the difference between them.

Finding the mass of the first block of metal:

We can find the density of the first block of metal by substituting 680 for D and 8 for V in the density formula:

(680 = M/8) * 8

5440 = M

Thus, the mass of the first block metal is 5440 kg.

Finding the mass of the second block of metal:

Now, we can find the mass of the second block of metal by substituting 840 for D and 8 for V in the density formula:

(840 = M/8) * 8

6720 = M

Thus, the mass of the second block of metal is 6720 kg.

Finding the difference between the masses of the two blocks of metal:

Now, we can find the difference in mass between the two blocks of metals by subtracting 5440 from 6720:

Difference = 6720 - 5440

Difference = 1280

Thus, the difference in mass between the two blocks is 1280 kg.