Solids and Units of Volume

🎬 Video Tutorial

  • (0:01) Solids: 3D shapes with length, width, and height, like cuboids and cubes. They have faces (flat surfaces), edges (where faces meet), and vertices (where edges meet).
  • (1:00) Volume and Unit Cubes: Volume measures the space a solid occupies, typically in cubic units. A cubic centimetre ($\text{cm}^3$) is the volume of a cube with 1 cm edges.
  • (1:33) Common Volume Units: Key units include cubic millimetres ($\text{mm}^3$), cubic centimetres ($\text{cm}^3$ or ml), litres (L), and cubic metres ($\text{m}^3$).
  • (2:30) Volume Unit Conversions: To convert between volume units, use the factor of 1000. For example, multiply by 1000 to convert from $\text{cm}^3$ to $\text{mm}^3$, and divide by 1000 to convert from ml to L.

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Solids and Units of Volume

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Q: How many faces does a cube have?

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Q: What is the approximate volume of a dice?

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Q: Convert 2.5 liters to milliliters.

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Q: How many cubic millimeters are in 1 cubic centimeter?

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Q: A small yogurt has a volume of 150 ml. How many cubic centimeters is this?

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Q: How many cubic millimeters are in a liter?

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