How do you do this?
A block of metal measuring 3.0 cm X 4.0 cm X 5.0 cm has a mass of 470.0g. What is the density of the metal in grams per cubic centimeter?
volume of block = 3.0 x 4.0 x 5.0 = ? cc
density = mass/volume.
Ooooh, that's easy enough. Thanks a million =]
To find the density of the metal in grams per cubic centimeter, follow these steps:
Step 1: Calculate the volume of the metal.
The volume of a rectangular block can be calculated using the formula: Volume = Length x Width x Height.
In this case, the length is 3.0 cm, the width is 4.0 cm, and the height is 5.0 cm.
Therefore, the volume of the metal is: 3.0 cm x 4.0 cm x 5.0 cm = 60.0 cm³.
Step 2: Calculate the density of the metal.
Density is defined as mass divided by volume.
Given that the mass of the metal is 470.0g and the volume is 60.0cm³, the density can be calculated as:
Density = Mass / Volume = 470.0g / 60.0cm³ = 7.83 g/cm³.
So, the density of the metal is 7.83 grams per cubic centimeter.
To find the density of the metal, you need to divide its mass by its volume. The mass is given as 470.0g, but we need to find the volume of the metal first.
To find the volume of the block, you multiply its length, width, and height together. In this case, the block measures 3.0 cm X 4.0 cm X 5.0 cm, so the volume is:
Volume = length X width X height
Volume = 3.0 cm X 4.0 cm X 5.0 cm
Volume = 60.0 cm³
Now that we have the volume, we can calculate the density by dividing the mass by the volume:
Density = mass / volume
Density = 470.0g / 60.0 cm³
Performing this division gives us the density of the metal in grams per cubic centimeter.