what volume(in cm3) of lead (density=11.3 g/cm3 ) has the same mass as 100 cm2 of red wood (density = 0.38 g/cm3)?
mass = density * volume
11.3 * V = 0.38 * 100 cm^3
V = 38 / 11.3
(not 100 cm^2, that would be area)
To find the volume of lead that has the same mass as 100 cm^2 of red wood, you can follow these steps:
Step 1: Find the mass of the red wood.
Given:
Density of red wood = 0.38 g/cm^3
Area of the red wood = 100 cm^2
To find the mass, you can use the formula:
Mass = Density x Volume
Rearranging the formula, we get:
Volume = Mass / Density
Substituting the given values, we have:
Volume of red wood = 100 cm^2 x 0.38 g/cm^3 = 38 g
Step 2: Find the volume of lead with the same mass.
Given:
Density of lead = 11.3 g/cm^3
Using the formula:
Volume = Mass / Density
Substituting the mass from Step 1, we have:
Volume of lead = 38 g / 11.3 g/cm^3 = 3.36 cm^3
Therefore, the volume of lead that has the same mass as 100 cm^2 of red wood is 3.36 cm^3.
To find the volume of lead that has the same mass as 100 cm2 of red wood, you need to follow these steps:
Step 1: Find the mass of the red wood.
To calculate the mass, you need to multiply the density of red wood (0.38 g/cm3) by its volume (100 cm2). However, since the given density is in g/cm3, you need to convert the area from cm2 to cm3. Since the thickness is not given, you can assume a thickness of 1 cm for simplicity. Therefore, the volume of red wood is 100 cm2 * 1 cm = 100 cm3.
Next, calculate the mass using the formula: Mass = Density * Volume.
Mass of red wood = 0.38 g/cm3 * 100 cm3 = 38 g.
Step 2: Find the volume of lead with the same mass.
To find the volume of lead, you need to use its density (11.3 g/cm3). Since the mass of the red wood is 38 g, the volume of lead can be calculated using the formula: Volume = Mass / Density.
Volume of lead = 38 g / 11.3 g/cm3 = 3.36 cm3.
Therefore, the volume of lead that has the same mass as 100 cm2 of red wood is 3.36 cm3.