# Relationship between perfect splitting and surface contact area (Cub(e/oids)

Surface area is the surface which is in contact with air/the surrounding (if it is supposedly a vacuum)

For every cub(e/oid), the formula to calculate the surface area is:

$$\boxed{2lb + 2hl + 2bh}$$

This is also used:

$\boxed{2(lb + hl + bh)}$

When we split a cub(e/oid) in half, any one of those three variables will double [when considering both cub(es/iods)]

When I say variable, I mean any of the three values ($lb, hl, bh$

For an instance, I say that I want to slice a cub(e/iod) downwards

So, one cub(e/iod) will have the surface area of:

$\boxed{\frac{2hl}{2} + \frac{2lb}{2} + 2bh}$

Both cub(es/oids), when considered a one, will have the surface area of:

$\frac{4hl}{2} + \frac{4lb}{2} + 4bh$

Which will become:

$2hl + 2lb + \boxed{4bh}$

As you can see, the $bh$ variable has doubled...

Which means surface area increases as more splitting is done

Note by A Former Brilliant Member
3 weeks, 5 days ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
• Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

## Comments

Sort by:

Top Newest

@Vinayak Srivastava, the quest of birds and human surface area has come to a halt

Check this and see whether you have understood the post...

Or say if you learnt something new

- 3 weeks, 5 days ago

Log in to reply

I know these formulas, I just feel that the question was not clear: It asked which will eat more calories, not which will tend to lose more heat, 75 kg birds which don't do anything for a day will need far less calories than 75 kg birds who work all through the day. I hope you understand my point.

- 3 weeks, 5 days ago

Log in to reply

And humans work the same way too. When both were to do the same work at the same environment, the birds will need more calories, @Vinayak Srivastava

- 3 weeks, 5 days ago

Log in to reply

That should have been stated though...

- 3 weeks, 5 days ago

Log in to reply

Yes...

I thought about that too

But I can't help, Brilliant sometimes makes unclear questions

Mistakes do happen

- 3 weeks, 5 days ago

Log in to reply

Yes, and we have to move on, that challenge is obviously complete now.

- 3 weeks, 5 days ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...