The better for melting into lemonade

Geometry Level 2

A cubic meter of ice is carved into 125 identical small cubes. What is the difference in total surface area?

Hint: There is a way to think about this so that the calculation takes less than 10 seconds.

12 m 2 12 \hspace{2mm} \text{ m}^2 24 m 2 24 \hspace{2mm} \text{ m}^2 36 m 2 36 \hspace{2mm} \text{ m}^2 30 m 2 30 \hspace{2mm} \text{ m}^2

View wiki
Zandra Vinegar by Zandra Vinegar

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Zandra Vinegar Staff
Oct 10, 2015

Here's a fast way to solve: Imagine cutting the cubic meter. Every cut is a planar slice that reveals two new square meters of S A SA . In order to big cut the cube into 125 small cubes, one needs to make 4 cuts in each dimension ( l × w × h l \times w \times h ), 12 cuts total. 2 m 2 × 12 c u t s = 24 m 2 2m^2 \times 12 \hspace{2mm} cuts = 24m^2 of new S A SA .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...