You have 1,000,000 number cubes, each measuring one inch on a side. if you layered the cubes to make one big cube what would be the dimensions of the big cube?

Question

Mathematics

Selina Gould

23 May, 19:11

You have 1,000,000 number cubes, each measuring one inch on a side. if you layered the cubes to make one big cube what would be the dimensions of the big cube?

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Answers (1)

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Casey Donaldson · Answer 1

100 x 100 x 100 number cubes

Step-by-step explanation:

It's basically a volume problem. The question is asking if you made a big cube filled with smaller cubes, specifically 1,000,000 of them, what are the dimensions of this big cube. Or in other words the volume is 1,000,000. Now how do we find the volume of a cube? length times width times height, and witht he cubes each of those are the same so we can call them all x.

Now we just set up the equation where we have the equation whatever one side is times itself three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000. Now you just take the cube root of 1,000,000 which gets us 100. so the length, width and height are 100 small cubes.