Block A of an unknown metal has a volume of 125cm^3 . Block B of a different metal has a volume of 145cm^3. If block A has a greater mass than block B, what can be said if the relative densities of two metal?

Question

Block A of an unknown metal has a volume of 125cm^3 . Block B of a different metal has a volume of 145cm^3. If block A has a greater mass than block B, what can be said if the relative densities of two metal?

Answer 1

mass = volume*density

So, if A has more mass than B, then if their densities are a and b,

125a > 145b
a/b = 145/125 > 1

so, a > b, so A is more dense than B.

Answer 2

To determine the relationship between the relative densities of the two metals, we need additional information about their masses. However, we can make an assumption based on the given information.

The relative density (also known as specific gravity) of a substance is the ratio of its density to the density of a reference substance (usually water for solids and liquids). In this case, as we want to compare the relative densities of the metals, we can assume that the masses of the blocks are the same while analyzing their relative densities.

Assuming the masses of both blocks are the same, we can calculate their densities using the formula:

Density = Mass / Volume

Let's say the mass of each block is "m." Using the formula, the density of block A would be:

Density of A = m / 125 cm^3

And the density of block B would be:

Density of B = m / 145 cm^3

Since it is given that block A has a greater mass than block B, we can assume that m(A) > m(B). As a result, the numerator (mass) of block A would be larger than that of block B.

Therefore, based on this assumption, we can conclude that the relative density of block A is greater than the relative density of block B.

Answer 3

To determine what can be said about the relative densities of the two metals based on the given information, we need to compare the masses of the two blocks.

Since block A has a greater mass than block B, we can infer that block A is denser than block B.

However, without knowing the masses of the blocks, we cannot determine the exact relationship between their densities. The relative density compares the density of one substance to another, but in this case, we only have information about the volume of the blocks.