Question

Since density depends on the mass and volume of an object, we need both of these values combined in the correct way to solve for density. Keep in mind that we may not be given the mass and volume directly, or the values may not be given in the units we want and we need to convert to the correct units before solving for density.
When converting between metric units, use the prefixes to help you determine the magnitude of a value. The prefix k indicates kilo, 1000. Therefore 1000 g = 1 kg.

A 11.0 kg iron weightlifting plate has a volume of 1400 cm3 . What is the density of the iron plate in g/cm3?

Express your answer in grams per cubic centimeter to three significant figures.

Answer 1

Answer:

Density=7.86g/cm³

Explanation:

To solve this exercise, we only need to convert units. To do so, we can use a three-step process:

1. Identify the units that the problem gives us.
2. Identify the units that we must report in the answer.
3. Use the appropiate conversion factor in order to convert the units in 1.) to the units in 2.)

In this case, the units we're given are kg and cm³, and the units we must convert them into are g and cm³. Keeping in mind the conversion factor of 1000 g = 1 kg, we convert the mass of the plate:

$11.0kg*\frac{1000g}{1kg}=11000 g$

Then we divide the mass by the volume, that is already in cubic centimeters:

$Density=\frac{11000g}{1400cm^{3}}=7.86\frac{g}{cm^{3} }$