Density Calculations and Significant Figures

This video tutorial covers the calculation of density, volume, and mass using the pyramid method. It includes several practice problems to illustrate how to solve for one variable when given the other two. The tutorial emphasizes the importance of using significant figures and provides step-by-step solutions for each problem, including examples with a cake, wood, chocolate, flowers, a book, and iron. The video concludes with a summary of the key concepts and encourages further practice.

What is the formula to calculate density using the pyramid method?

• Density = Mass x Volume

• Density = Mass / Volume

• Density = Volume / Mass

• Density = Volume x Mass

If a cake has a mass of 500 grams and a volume of 2500 cubic centimeters, what is its density?

• 0.2 grams per cubic centimeter

• 20 grams per cubic centimeter

• 2 grams per cubic centimeter

• 0.02 grams per cubic centimeter

Given a piece of wood with a mass of 6 grams and a volume of 12 cubic centimeters, what is its density?

• 50 grams per cubic centimeter

• 0.05 grams per cubic centimeter

• 5 grams per cubic centimeter

• 0.5 grams per cubic centimeter

How do you find the mass of a chocolate sample if its density is 8 grams per cubic centimeter and its volume is 25 cubic centimeters?

• Mass = Volume / Density

• Mass = Density x Volume

• Mass = Density / Volume

• Mass = Density + Volume

What is the mass of a chocolate sample with a density of 8 grams per cubic centimeter and a volume of 25 cubic centimeters?

• 20 grams

• 2 grams

• 250 grams

• 200 grams

If flowers have a total mass of 820 grams and a density of 5 grams per cubic centimeter, what is their volume?

• 164 cubic centimeters

• 16.4 cubic centimeters

• 1640 cubic centimeters

• 1.64 cubic centimeters

How do you determine the number of significant figures in a calculated answer?

• Use the total number of significant figures from the given data

• Use the lowest number of significant figures from the given data

• Use the highest number of significant figures from the given data

• Use the average number of significant figures from the given data

What is the density of a piece of iron if its mass is 25 grams and it displaces 275 mL of water?

• 0.91 grams per milliliter

• 9.1 grams per milliliter

• 91 grams per milliliter

• 0.091 grams per milliliter

What is the volume of a piece of iron if the water level in a graduated cylinder rises from 150 mL to 425 mL after the iron is added?

• 275 mL

• 575 mL

• 150 mL

• 425 mL

If a book has a mass of 96.4 grams and a volume of 165 cubic centimeters, what is its density using three significant figures?

• 0.584 grams per cubic centimeter

• 0.58 grams per cubic centimeter

• 0.585 grams per cubic centimeter

• 0.5846 grams per cubic centimeter