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Volume of cuboids & cubes

Measurement

Japanese school year: Elementary 5

What you learn

Learn the formulas to calculate the volume of rectangular prisms and cubes from their dimensions, along with units of volume. This knowledge is used to determine box capacities and liquid storage sizes. Prior familiarity with rectangle area and mastery of multiplying three numbers will make calculations straightforward.

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Key points

This formula finds the volume V of a rectangular prism. Multiply the length a, width b, and height c.

V=abcV = abc

This formula finds the volume V of a cube. Multiply the side length a by itself three times.

V=a3V = a^3

This formula shows how volume units relate. Since 1 m is 100 cm, 1 m³ equals 1,000,000 cm³.

1 m3=1000000 cm31\,\mathrm{m}^3 = 1000000\,\mathrm{cm}^3

This formula shows how capacity and volume relate. 1 L is equal to 1,000 cm³, the volume of a 10 cm cube.

1 L=1000 cm31\,\mathrm{L} = 1000\,\mathrm{cm}^3

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