A block of wood is weight'ed on abearn balance. It's mass is 54g . The density of the block is 18g/cm3. Determine the volume of the block.
Volume = Mass / Density
Volume = 54g / 18g/cm3
Volume = 3 cm3
To determine the volume of the block, we can use the formula:
Density = Mass / Volume
In this case, the density of the block is given as 18g/cm^3, and the mass is given as 54g. Rearranging the formula, we get:
Volume = Mass / Density
Substituting the given values, we get:
Volume = 54g / 18g/cm^3
Now, we need to convert the units so that they match. Since density is given in g/cm^3, we need to convert the mass from grams to cm^3.
Since 1g is equivalent to 1cm^3, the mass of 54g is equal to 54cm^3.
Substituting the converted values, we get:
Volume = 54cm^3 / 18g/cm^3
Simplifying further, we get:
Volume = 3cm^3
Therefore, the volume of the block is 3 cm^3.
To determine the volume of the block, we can use the formula:
Density = Mass / Volume
Given that the mass of the block is 54g and the density is 18g/cm^3, we can rearrange the formula to solve for volume:
Volume = Mass / Density
Plugging in the values, we have:
Volume = 54g / 18g/cm^3
To simplify the units, we need to convert grams to grams per cubic centimeter (g/cm^3) using the fact that 1 cubic centimeter (cm^3) is equal to 1 milliliter (ml), and 1 gram (g) is equal to 1 milliliter (ml). Therefore, we have:
Volume = 54g / 18g/cm^3 = 3 cm^3
So, the volume of the block is 3 cm^3.