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Illuminations: Sum of Cubes

According to Waring’s theorem, any positive integer can be represented as the sum of nine or fewer perfect cubes (not necessarily distinct).

For instance, 89 can be represented as the sum of four perfect cubes: 27 + 27 + 27 + 8 = 89.

Can you express 239 as a sum of nine or fewer perfect cubes?


Math Topics
Addition & Subtraction, Algebra & Pre-Algebra, Exponents & Square Roots
Middle School, High School
8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories

Resource k12

Illuminations: Sum of Cubes

According to Waring’s theorem, any positive integer can be represented as the sum of nine or fewer perfect cubes (not necessarily distinct).

For instance, 89 can be represented as the sum of four perfect cubes: 27 + 27 + 27 + 8 = 89.

Can you express 239 as a sum of nine or fewer perfect cubes?

Math Topics
Addition & Subtraction, Algebra & Pre-Algebra, Exponents & Square Roots
Middle School, High School
8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories