Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

An Osmium block has a density of 
22.59g//cm^(3) and a mass of 420 grams. What is the volume of the block?
Round answer to the nearest hundredth.
The volume of the Osmium block is type your answer... 
cm^(3)

An Osmium block has a density of 22.59 g/cm3 22.59 \mathrm{~g} / \mathrm{cm}^{3} and a mass of 420420 grams. What is the volume of the block?\newlineRound answer to the nearest hundredth.\newlineThe volume of the Osmium block is type your answer... cm3 \mathrm{cm}^{3}

Full solution

Q. An Osmium block has a density of 22.59 g/cm3 22.59 \mathrm{~g} / \mathrm{cm}^{3} and a mass of 420420 grams. What is the volume of the block?\newlineRound answer to the nearest hundredth.\newlineThe volume of the Osmium block is type your answer... cm3 \mathrm{cm}^{3}
  1. Density formula: Density formula: Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}. We need to find the Volume\text{Volume}, so rearrange the formula to Volume=MassDensity\text{Volume} = \frac{\text{Mass}}{\text{Density}}.
  2. Plug in values: Plug in the values: Volume=420grams22.59g/cm3\text{Volume} = \frac{420 \, \text{grams}}{22.59 \, \text{g/cm}^3}.
  3. Do the division: Do the division: Volume 42022.59\approx \frac{420}{22.59}.
  4. Calculate result: Calculate the result: Volume 18.588cm3\approx 18.588 \, \text{cm}^3 (before rounding).
  5. Round the answer: Round the answer to the nearest hundredth: Volume 18.59cm3\approx 18.59 \, \text{cm}^3.

More problems from Volume of cylinders