Perfect Cubes

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What is a perfect cube?

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A perfect cube is a number that can be expressed as the cube of an integer. For example, 1, 8, 27, and 64 are perfect cubes because they can be written as 1^3, 2^3, 3^3, and 4^3 respectively.

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CCSS.8.EE.A.2

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CCSS.5.NBT.A.2

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CCSS.6.EE.A.1

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CCSS.6.EE.A.1

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CCSS.6.EE.A.1

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What is the formula for calculating the volume of a cube?

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The volume of a cube is calculated using the formula: Volume = side^3, where 'side' is the length of one edge of the cube.

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CCSS.6.G.A.2

CCSS.5.MD.C.5B

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If the side length of a cube is 3, what is its volume?

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Volume = 3^3 = 27.

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CCSS.6.G.A.2

CCSS.5.MD.C.5B

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What is the relationship between perfect cubes and their roots?

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The cube root of a perfect cube is an integer. For example, the cube root of 64 is 4, since 4^3 = 64.

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CCSS.8.EE.A.2

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List the first five perfect cubes.

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The first five perfect cubes are: 1 (1^3), 8 (2^3), 27 (3^3), 64 (4^3), and 125 (5^3).

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CCSS.8.EE.A.2