Volume and Uncertainty of a Block

The video tutorial by Rosyeta Drianto from Seratus Institute explains how to calculate the volume of a block and its uncertainty. It begins with a problem statement involving measurements of length, width, and height with uncertainties. The tutorial demonstrates the calculation of volume using the formula for a block and emphasizes the importance of significant figures. It then explains how to calculate the uncertainty in the volume using a specific formula and concludes with the calculation of relative uncertainty, ensuring the final answer is reported with the correct number of significant figures.

What are the given measurements for the block's dimensions?

• 120 ± 0.5 mm, 90 ± 0.5 mm, 15 ± 0.05 mm

• 117 ± 0.5 mm, 89 ± 0.51 mm, 12 ± 0.05 mm

• 115 ± 0.5 mm, 85 ± 0.5 mm, 10 ± 0.05 mm

• 110 ± 0.5 mm, 80 ± 0.5 mm, 20 ± 0.05 mm

Which formula is used to calculate the volume of the block?

• Length + Width + Height

• Length + Width x Height

• Length x Width x Height

• Length x Width + Height

How many significant figures should the final volume have?

• 3 significant figures

• 4 significant figures

• 5 significant figures

• 2 significant figures

What is the formula for calculating the uncertainty in volume?

• delta V = delta P + delta L + delta T

• delta V = delta P x delta L x delta T

• delta V = P + L + T

• delta V/V = delta P/P + delta L/L + delta T/T

What is the calculated uncertainty in the volume of the block?

• 1756.65 mm³

• 1800 mm³

• 1500 mm³

• 2000 mm³

What is the relative uncertainty of the volume?

• 2.5%

• 1.0%

• 2.0%

• 1.5%

What is the final reported volume of the block with its uncertainty?

• 120 ± 4 cm³

• 120 ± 3 cm³

• 120 ± 1 cm³

• 120 ± 2 cm³

Why is the volume reported in cm³ instead of mm³?

• To match the significant figures requirement

• To simplify the calculation

• To avoid decimal points

• To increase precision

What should be done if the relative uncertainty is around 1%?

• Report with 4 significant figures

• Report with 3 significant figures

• Report with 2 significant figures

• Report with 5 significant figures

What is the importance of significant figures in this calculation?

• They simplify the calculation

• They reduce the error

• They increase the volume

• They determine the precision of the measurement