20.4k views
9 votes
An empty cubical carton is side 7cm. Can you fill 1000 cubes of side 1cm in it ?

Explain with Explanation

1 Answer

7 votes
An empty cubical carton of side 7cm has the volume:
7 x 7 x 7 = 343cm³

A cube of side 1cm has the volume:
1 x 1 x 1 = 1cm³

From this, we can see that a 1000 cubes of side 1cm has the volume:
1000 x 1cm³ = 1000cm³

But we know that the cubical carton of side 7cm only has a volume of 343cm³.

Since 1000cm³ > 343cm³,
you cant fill 1000 cubes of side 1cm in such a carton.

TL;DR
No

Hope this helps
User Rob Earlam
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories