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Questions and Answers
What is the unit of volume for a rectangular prism with a length of 4 meters, a width of 2 meters, and a height of 3 meters?
cubic meters (m³)
A cube has a volume of 64 cubic centimeters. What is its volume in cubic inches?
approximately 3.97 in³
What is the volume of a rectangular prism with a length of 6 inches, a width of 4 inches, and a height of 2 inches?
48 in³
If 1 cubic meter is equal to 1000 cubic centimeters, how many cubic centimeters are in 2.5 cubic meters?
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A rectangular prism has a length of 8 feet, a width of 5 feet, and a height of 2 feet. What is its volume in cubic inches?
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What is the primary unit of measurement for volume, and provide two examples of real-world applications where this unit is used?
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A rectangular prism has a length of 10 cm, width of 5 cm, and height of 3 cm. Calculate its volume and express it in a different cubic unit.
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Explain the concept of cubic units and how they are used to measure the volume of a rectangular prism.
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A rectangular prism has a length of 2 m, width of 3 m, and height of 1 m. Calculate its volume and express it in a different cubic unit.
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What is the formula used to calculate the volume of a rectangular prism, and what do each of the variables in the formula represent?
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Study Notes
Cubic Units
- Volume is measured in cubic units, which are units of length cubed (e.g. meters, centimeters, inches)
- Common cubic units:
- Cubic meter (m³)
- Cubic centimeter (cm³)
- Cubic inch (in³)
- Cubic foot (ft³)
Unit Conversion
- To convert between cubic units, use the following conversion factors:
- 1 m³ = 1000 cm³
- 1 cm³ = 0.061023 in³
- 1 ft³ = 28.3168 L
- Conversion examples:
- 5 cm³ to m³: 5 cm³ × (1 m³ / 1000 cm³) = 0.005 m³
- 2 in³ to cm³: 2 in³ × (16.387 cm³ / 1 in³) = 32.774 cm³
Calculate Volume of a Rectangular Prism
- Formula: V = l × w × h
- V = volume
- l = length
- w = width
- h = height
- Unit of volume: same as the unit of length (e.g. if length is in meters, volume is in cubic meters)
- Example:
- Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm:
- V = 5 cm × 3 cm × 2 cm = 30 cm³
- Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm:
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Description
Learn how to calculate volume using cubic units, convert between different units, and apply the formula to find the volume of a rectangular prism. Practice unit conversions and volume calculations with examples.
