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Cube roots
Description
Exercise Name: Cube roots
Math Missions: 8th grade (U.S.) Math MissionPre-algebra Math Mission, Mathematics I Math Mission
Types of Problems: 1

The Cube roots exercise appears under the 8th grade (U.S.) Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise is an arithmetic drill for the cube root of perfect cubes.

Types of Problems

There is one type of problem in this exercise:

1. Find the cube root of the number: This problem asks for the cube root of a given number. The user is expected to find the square root and write it in the space provided.

Strategies

Most of the cubes are slightly beyond what most users typically memorize. Therefore, memorizing the first twelve cubes could greatly increase proficiency on this exercise.

1. All the numbers under the radicals will be perfect cubes, therefore the answers will all be integers.
2. The largest number seen so far is the cube root of 1728 (or ${\sqrt[3]{1728}}$), which equals 12.

Real-life applications

1. Cubes and thus cube roots have applications in geometry pertaining to many volume formulas and relationships.
2. The concept of square and cube roots were first realized by the Egyptians. The Egyptians used square/cube roots to make important calculations for the pyramids they constructed.