You purchase a set of 100 cube-shaped miniature magnets each with an edge length of 1/8th inch. You arange the cubes to form larger cubes, each one with a different edge length. How many cubes can you form? What is their total volume

Question

Leonidas Sawyer

Mathematics

15 June, 05:50

You purchase a set of 100 cube-shaped miniature magnets each with an edge length of 1/8th inch. You arange the cubes to form larger cubes, each one with a different edge length. How many cubes can you form? What is their total volume

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Gavin Meza · Answer 1

You can only form perfect squares from 1-100.

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100

You can form 11 squares. Volume is around 0.00195 in^3.