Welcome Guest [Log In] [Register]
Welcome to the ShellCore Command Forums. We hope you enjoy your visit.

You're currently viewing our forum as a guest. This means you are limited to certain areas of the board and there are some features you can't use. If you join our community, you'll be able to access member-only sections, and use many member-only features such as customizing your profile, sending personal messages, and voting in polls. Registration is simple, fast, and completely free.

Please note: The Zetaboard hosting service which hosted our forum will soon be shut down due to a migration to redirect all their forums to Tapatalk


If you're already a member please log in to your account to access all of our features:

Username:   Password:
Deceleration's 100 math problems thread!; Absolute torture...
Topic Started: Aug 4 2011, 04:22 AM (5,626 Views)
Deceleration
Member Avatar
Coreling Conquerer

Argh. I stole number 1 straight from an SAT test. I suck at making up real number problems. So, for number 3:

A white plastic cube with 1 cm sides is stained red on the outside. Then it's laser-cut into one million smaller cubes. What percentage of the smaller cubes have exactly one red face? (And yes, this is also stolen from the SAT.)

I'll also give another question, for number four. Here it goes:

How many times larger is the total surface area of the one million cubes than the surface area of the original 1 cm cube?
Edited by Deceleration, Aug 5 2011, 05:29 PM.
 
Spar
Member Avatar
Wandering Scavenger

57,624 cubes have a single colored side. The cubed root of a million is 100, so each side is 100x100. Subtract the parts on either end as they'd have 2-3 colored sides and you have 98x98 cubes per side. Multiply it by the 6 sides and you get 57,624.
 
Deceleration
Member Avatar
Coreling Conquerer

You are once again correct! Now try problem four while I edit the scoreboard.
 
Spar
Member Avatar
Wandering Scavenger

I wonder if I should be exempt from these questions as I tested out of college level Calculus while in high school...
 
Deceleration
Member Avatar
Coreling Conquerer

It's open to everyone. Especially considering how you are the only person to get any of my problems correct.
 
DarkWingedDaemon
Member Avatar
Coreling Cruiser

I would if I know the formulas...
 
Deceleration
Member Avatar
Coreling Conquerer

No formulas. Just basic logic.
 
Spar
Member Avatar
Wandering Scavenger

It's pretty simple to decipher what the surface area of a cube is... And I guess I'll just answer the other question anyways the surface area of the million cubes is 100 times more surface area of the one big cube. It's easier since it's just a ratio, so put the large cube as having sides that are 100 units long, resulting in 60,000 square units of surface area. Cut into a million cubes the an individual cube has a 1 unit long side, resulting in a surface area of 6, but as there are a million of them the surface area is appropriately 6,000,000. 6,000,000 is 100 times larger than 60,000.
 
Deceleration
Member Avatar
Coreling Conquerer

Spar is again correct! (how many times will I have to say that...) The surface area is increased by 100 times. Now I must think of question 5.
 
Spar
Member Avatar
Wandering Scavenger

I'd get used to it if I were you. Math was my best subject, while English was my worst.
 
1 user reading this topic (1 Guest and 0 Anonymous)
Go to Next Page
« Previous Topic · Capitol Platforms (General Discussion) · Next Topic »