Questions and Answers
The volume of a cubic centimeter is equal to $10^{-6}$ cubic meters.
True
A decimeter is ten times smaller than a centimeter.
False
A stack of 500 sheets of paper with dimensions 0.297 m x 21.0 cm x 50.0 mm has a volume of $3118.5$ cm³.
True
The thickness of a single sheet of paper in the stack mentioned above is 0.1 mm.
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The volume of a floating object can be determined by measuring the amount of water displaced when the object is submerged.
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The volume of the wood in Figure 1.8 is $80$ cm³.
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The volume of the steel block in Figure 1.8 is $70$ cm³.
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A micrometer is equal to 0.000 000 1 meters.
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What is the conversion factor for changing cubic centimeters (cm³) to cubic meters (m³)?
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If one sheet of paper has a thickness of 0.1 mm, how many sheets would equal a thickness of 1 cm?
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In measuring the volume of an object using displacement, what must you accurately record?
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When measuring volume, 1 cubic decimetre (dm³) is equivalent to how many cubic centimeters (cm³)?
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What is the method for measuring the volume of an irregularly shaped solid object?
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Which of the following units is not a standard unit of volume in the SI system?
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Which metric conversion correctly states the relationship between centimetres and millimetres?
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What would happen to the water level in a graduated cylinder when a steel block, which is denser than water, is added?
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Study Notes
Measurements and Units
- A stack of paper comprises 500 sheets.
- Dimensions of the stack: 0.297 m (length) x 21.0 cm (width) x 50.0 mm (height).
- Thickness of one sheet of paper can be calculated by dividing the height of the stack by the number of sheets.
Volume Calculations
- To find the volume of the stack of paper in cm³:
- Convert all dimensions to centimeters:
- 0.297 m = 29.7 cm
- 21.0 cm = 21.0 cm
- 50.0 mm = 5.0 cm
- Use the formula: Volume = length x width x height.
- Convert all dimensions to centimeters:
SI Units for Measurement
- Length Units:
- 1 dm = 0.1 m
- 1 cm = 0.01 m
- 1 mm = 0.001 m
- 1 µm = 0.000001 m
- 1 km = 1000 m
- Volume Units:
- 1 cm³ = 0.000001 m³
- 1 dm³ = 0.001 m³
Measuring Volume by Displacement
- Volume of an object that floats can be determined using water displacement.
- Procedure involves submerging the object in water and measuring the volume of water displaced.
- Diagram reference (Figure 1.8) illustrates the method with a block of wood floating on water.
Key Equation
- Important for calculations involving conversions and volume measurements.
Measurements and Units
- A stack of paper comprises 500 sheets.
- Dimensions of the stack: 0.297 m (length) x 21.0 cm (width) x 50.0 mm (height).
- Thickness of one sheet of paper can be calculated by dividing the height of the stack by the number of sheets.
Volume Calculations
- To find the volume of the stack of paper in cm³:
- Convert all dimensions to centimeters:
- 0.297 m = 29.7 cm
- 21.0 cm = 21.0 cm
- 50.0 mm = 5.0 cm
- Use the formula: Volume = length x width x height.
- Convert all dimensions to centimeters:
SI Units for Measurement
- Length Units:
- 1 dm = 0.1 m
- 1 cm = 0.01 m
- 1 mm = 0.001 m
- 1 µm = 0.000001 m
- 1 km = 1000 m
- Volume Units:
- 1 cm³ = 0.000001 m³
- 1 dm³ = 0.001 m³
Measuring Volume by Displacement
- Volume of an object that floats can be determined using water displacement.
- Procedure involves submerging the object in water and measuring the volume of water displaced.
- Diagram reference (Figure 1.8) illustrates the method with a block of wood floating on water.
Key Equation
- Important for calculations involving conversions and volume measurements.
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Description
This quiz covers measurements and units, including converting dimensions to centimeters and calculating the volume of a stack of paper.
