CUBE ROOTS. Remember: A number is a perfect square if you can take that many 1 x 1 unit squares and form them into a square. The side length of the square.

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Presentation transcript:

CUBE ROOTS

Remember: A number is a perfect square if you can take that many 1 x 1 unit squares and form them into a square. The side length of the square you form is that number’s square root. Perfect Squares and Square Roots

Squares and Cubes: Similarities - All sides congruent - All angles 90 degrees Differences: - Square is 2 dimensional - Cube is 3 dimensional Perfect Cubes and Cube Roots

Remember: A cube is a three dimensional prism with 6 square faces; so all sides are congruent and all angles are right angles. Perfect Cubes and Cube Roots

A number is a perfect cube if you can take that many 1 x 1 x 1 unit cubes and form them into a cube. The side length of the cube you form is that number’s cube root. Perfect Cubes and Cube Roots

Perfect Cube: 1Cube Root: 1 Volume: 1 units 3 Side Length: 1 unit Perfect Cubes and Cube Roots

Perfect Cube: 8Cube Root: 2 Volume: 8 units 3 Side Length: 2 units Perfect Cubes and Cube Roots

Side Length Volume Operation VolumePerfect Cube 1 unit 1 x 1 x 11 unit³1 2 units 2 x 2 x 28 units units 4 units 5 units

Find the cube roots:

A fish tank in the shape of a cube has a volume of 343 units³. What is the length of one side of the tank? A cube has a volume of 125 units³. What is the length of one side?

Chloe wants to build a storage container in the shape of a cube to hold 125 cubic meters of hay for her horse. What is the length of one side of the container?

A Rubik’s Cube has a volume of 27 cubic centimeters. What is the surface area of one side of the cube? An aquarium in the shape of a cube will hold 64 cubic feet of water. What would be the length of one side of the aquarium?