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Volume

Grade 6 · Math · Free lesson

Hey there! Ready to explore how much space things take up? Let's discover the awesome world of volume together!

Volume is the amount of 3D space that an object fills up. While flat 2D shapes like squares only have length and width, 3D shapes also have depth!

geometry

To measure volume, we count how many little unit cubes can fit inside a shape. One single unit cube is like a building block for measuring space.

Counting Unit Cubes! Each block represents 1 cubic unit of volume.

For rectangular boxes, we can find the volume quickly by multiplying three things: Length (how long), Width (how wide), and Height (how tall). Just multiply them together!

Length Height Width Volume = Length × Width × Height
✏️ Worked example

Find the volume of a toy box that is 5 inches long, 3 inches wide, and 4 inches tall.

  1. Identify the formula for the volume of a rectangular prism: Volume = Length × Width × Height.
  2. Plug in the numbers from the problem: Length = 5, Width = 3, and Height = 4.
  3. Multiply the length by the width first: 5 × 3 = 15.
  4. Multiply that result by the height: 15 × 4 = 60.
  5. Write your final answer with cubic units: 60 cubic inches (or 60 in³).
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