Explanation
Volume is the amount of space inside a 3D object.
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Measured in cubic units (cm³, m³)
Common volume formulas:
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Rectangular prism:
V = l × w × h -
Cube:
V = s³ -
Cylinder:
V = πr²h -
Sphere:
V = (4/3)πr³
Surface area is the total area of all faces on the outside.
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Measured in square units
Examples:
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Cube:
SA = 6s² -
Rectangular prism:
SA = 2lw + 2lh + 2wh
Quiz: Volume and Surface Area
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What units are used for volume?
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What units are used for surface area?
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Write the volume formula for a rectangular prism.
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Which measures the outside: volume or surface area?
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What is the volume of a cube with side length 3 units?
Answer Key
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Cubic units
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Square units
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V = l × w × h
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Surface area
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27 cubic units