CUBE ROOTS

Perfect Squares and Square 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.

Cube Root Vocabulary radical sign index radicand

The index of a cube root is always 3. Cube Roots The index of a cube root is always 3. The cube root of 64 is written as 3 64 .

Perfect Cubes and Cube 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: 1 Cube Root: 1 Volume: 1 units3 Side Length: 1 unit

Perfect Cubes and Cube Roots Perfect Cube: 8 Cube Root: 2 Volume: 8 units3 Side Length: 2 units

Perfect Cubes and Cube Roots Side Length Volume Operation Volume Perfect Cube 1 unit 1 x 1 x 1 1 unit³ 1 2 units 2 x 2 x 2 8 units3 8 3 units 4 units 5 units

Find the cube roots: 𝟑 𝟏𝟐𝟓 𝟑 𝟏 𝟖 - 𝟑 −𝟐𝟕 𝟑 𝟏 𝟐𝟏𝟔 𝟑 − 𝟔𝟒 𝟏𝟎𝟎𝟎

A fish tank in the shape of a cube has a volume of 343 units³ 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 216 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?