Cube Definition and 593 Threads

Hello friends, I am studying in 10th class. Actually I have a question and I’m unable to solve this question. My question is: How can we find the square root of a number by hand? How about cube roots? If anybody can solve my question I will grateful. Thanks in advance!

A cube has 5 sides grounded, and an insulated sixth side at potential x. What is the potential at the center of the cube? The solution states that the potential at the center must be a linear combination of the potentials of the six sides. Why is that? Thanks, EFuzzy

So, I've noticed that when I freeze ice cubes these strange icicles appear on the top of the ice. I took a picture, included as an attachment. Not really sure how something like this forms. Please no speculation.

Prove or disprove that it is possible.

I am trying to work through some examples we have been given on flux out of a cube but am having difficulty in seeing how one one line of the answer becomes the next. The question is analysing the flux out of a cube by looking at each side individually and working out the surface integrals...

If I have cube with top side opened with powder in it an i start pushing two sides of cube together will powder fall out of cube the same as with water or other liquid?

How much heat is required to change a 46.6 g ice cube from ice at -12.5°C to water at 53°C? (if necessary, use cice=2090 J/kg°C and csteam= 2010 J/kg°C) then i used Q=cmt and Q=mL Q=(2090)(.0466)(12.5)=1217.425J Q=(.0466)(33.5E4)=15611J Q=(2010)(.0466)(53)=4964.298J then when i add...

Homework Statement At each point on the surface of a cube the electric field is parallel to the z axis. The length of each edge of the cube is 3.5 m. On the top face of the cube the electric field is in the negative z direction and has a magnitude of 37 N/C magnitude. On the bottom face of...

Homework Statement The side of a cube increases at 1 cm / s. How fast is the diagonal of the cube changing when the side is 1 cm? Homework Equations Involves: a^2+b^2=c^2 Implicit Differentiation Derivation The Attempt at a Solution I'm attempting to find the diagonal of the cube...

Homework Statement Consider a gravity free hall in which a tray of mass M,carrying a cubical ice block of mass m and edge L,is at rest in the middle.If the ice melts,what would be the displacement of the system? Homework Equations The Attempt at a Solution I think it has to do...

I am trying to derive a version of Euler's criterion for the existence of cube roots modulo p, prime. So far, I have split the primes up into two cases: For p = 3k+2, every a(mod p) has a cube root. For p = 3k+1, I don't know which a it is true for, but I did a few examples and noticed...

Hi everyone, I am new to this forum. I am taking an undergraduate thermodynamics course and got stumped by this problem. I found this forum and figured that someone here would be able to help me with this! :-p Homework Statement Develop a model for melting of an ice cube. What assumptions...

Just an interesting question but has anybody here ever solved a Rubik's cube before? I need some serious help with solving one and it is driving me nuts! Anyone have some good tips? Thanks!

An elegant way of writing the standard model Lagrangian. The paper is titled "Standard Model Lagrangian" and is on this site: http://federation.g3z.com/Physics/ This appears to fit well with my preon model of the fermions; and helps fill in how one connects up the gauge bosons in that sort...

Homework Statement An insulated Thermos contains 110 cm3 of hot coffee at 87.0°C. You put in a 15.0 g ice cube at its melting point to cool the coffee. By how many degrees (in Celsius) has your coffee cooled once the ice has melted? Treat the coffee as though it were pure water and neglect...

Electric Flux of a cube Homework Statement A point charge of magnitude 9.10 nC is at the center of a cube with sides of length 0.685 m. What is the electric flux through each of the six faces of the cube? What would be the flux Phi_1 through a face of the cube if its sides were of...

I have a question involving putting an ice cube in a thermos of coffee. I used c_{ice}m_{ice}(T_f-T_i) + c_{coffee}m_{coffee}(T_f-T_i)=0. Is this right? If so wouldn't the temperatures of the ice remain constant until it is all gone?It says that the ice is at 0'C.

is there a number that is exactly one more than its cube?

Does anyone know what the rotational inertia of a cube of uniform density is when it is rotated about an edge? Any help is appreciated!

Homework Statement A glass cube has a small spot at its center. What parts of the cube face must be covered to prevent the spot from being seen, no matter what the direction of viewing? What fraction of the cube face must be covered? Assume a cube edge of 1 cm and a refractive index of 1.50...

ok i wasnt sure which forum to place this in so I am putting it here now. I am currently trying to help my boyfriend figure out something. his project is to design and build a game cube to usb adapter that will work with stepmania (a dance dance revolution simulator that you can download for...

I am currently trying to help my boyfriend figure out something. his project is to design and build a game cube to usb adapter that will work with stepmania (a dance dance revolution simulator that you can download for free online). he has already correctly mapped out the buttons in his code...

Homework Statement How much energy is necessary to completely melt an ice cube of mass 360.6grams that is initially at a temp of -25.2 degrees celsius. Homework Equations im thinkin i should use specific heat equation? is that right? c=Q/m(change of temp) 2090=Q/.36069(25.2) The...

(I know this type of problem has been discussed on here before, but I still don't understand what to do next) The attached drawing shows a large cube (mass=55kg) being accelerated across a horizontal frictionless surface by a horizontal force P. A small cube (mass=4.5kg) is in contact with...

Two 60 g ice cubes are dropped into 270 g of water in a thermally insulated container. If the water is initially at 25°C, and the ice comes directly from a freezer at -15°C What is the final temperature if only one ice cube is used? I have no idea where to begin...my teacher didn't give us...

hi, is there any way to find the cube roots of a complex number WITHOUT converting it into the polar form? i am asking this because we can find the square root of a complex number without converting it. i was just wondering whether there is such a method for finding cube roots too. i was...

Geometrically, how do rotations in a cube look? i.e rotate through 180 degrees about the line joining midpoints of opposite edges, how does it look? Are the rotations the different ways of getting from one vertex to the opposite vertex in the cube (where opposite is defined by the line...

If I have a cube made out of capacitors, that's one capacitor for everyside for a total of 12 capacitors. Each capacitor is C=4.71 pF. How would I even begin to go about finding the total capacitance?

There is a positive charge located at the center of a cube. are the intersections of the field lines with a side of the box uniformly distributed across that side? (can someone also give a clear definition of what uniformly distributed means?) describe how the field lines for the positive...

Can anyone out there tell me what the body diagonals of a cube are. I am asked to find the angle between the body diagonals of a cube. Seeing as how it is just the application of the dot product it does not seem difficult other than I do not know what body diagonals are (I have an idea but...

Can some one tell me what are the diagonals of a cube? Picture is better

Question: The cube in the figure (attachment) has sides of length L=10.0 {\rm cm}. The electric field is uniform, has a magnitude E=4.00 \times 10^{3} {\rm N}/{\rm C}, and is parallel to the xy-plane at an angle of 36.9^\circc measured from the + x - {\rm axis} toward the + y - {\rm axis}...

How to solve cube roots question ? Example : x^3 - 100x^2 - 7800x + 16300 = 0 I had think long time but still cannot find the way. Besides trial an error, is there anyway to solve this problem ? thank you.

there is a way of calculating the square root of any number (without using a calculator of course). is there a similar way, or any way, in fact to calculate cube roots, fourth roots, etc. again without using a calculator??

I wrote something on PF some time ago and nobody said what I wrote was wrong. But now I am almost certain that it is. What I said is that if you have a cube of matter, then its mass is E/c² where E is the total energy of its N constituents: E = \sum_i^N (m_ic^2 + K_i) I would correct that...

The non uniformity of the electric field in the following question is throwing me off. If the electric field were uniform I'd have no problem. I assume I would use the following equation to solve for each of the surfaces: \Phi = \int \vec{E} \cdot d \vec{A} I'm having a difficult time...

Hi. Those of you familiar with the classic problem in Jackson, where a dielectric sphere (diel const = k) is placed in a uniform electric field E_0, may recall the simple expressions for the field inside of the sphere: E_in = 3/(2+k) E_out. The solution tells us that the field...

Hello there, I am unsure about the following question and would like some help to understand please! :smile: Consider the following systems: a) a container that is half filled with alcohol, stoppered and allowed to stand for several days b) crystals of KMnO4 that are dissolved in water...

Is there a good algorithm for computing such things modulo a prime? (I'll confess to not yet having tried to see if Shanks' algorithm can be easily adapted; I'll probably fiddle with that tomorrow)

I am having trouble finding the surface area of a cube with the length of each edge equal to x+1. can some one help?

I've been trying to find this but I have no luck!

suppose there is a cube and we can colour the cube's faces with only two colours ..i.e. black and white ,,how many different patterns are possible...

Which cube members are not in the sequence and prove it? 2, 5, 8, 11, 14, ... How can this be proved :cry: My answer: an = 3n + 2 Any natural number may be written as N= 3k+p for some natural number K and p=0,1 or 2. So N^3=(3k+p)3 N^3=3(9k+k^2p+kp^2)+p^3 N^3=3k+p^3...

I am asked to use the exponential form e^{i \theta} to express the three cube roots of: (a) 1 (b) i (c) -i what exactly does this question mean? I am really lost as to what they are asking for. here is a stab at it: (a) cube root of 1 is 1... so... would that mean... 1=e^{- \infty...

Hello, Here is my what am trying to solve. Express the edge length of a cube as a function of the cubes diagonal. Then express the area as a function of diagonal length if the side is x. This is what i know. The area of a cube is 6x^2 where x is the length. But in the problem i have...

1. When the ice cube melts, will the water level rise, stay the same or fall? and why? 2. What happens to the height of pond when ancor thrown overboard rise, stay same or fall? Why? I know that for the first question it's stay the same and for the 2nd question, it's fall; but i don't know...

Is it true that, if power were applied to a one meter cube of quartz crystal and the crystal were driven to the breaking point, the gravity waves produced would definetly, 100%, be orders of magnitude too weak to be detected? Apparently Albert Einstein calculated that

Hi, can someone help me through the following question. Q. Use Stoke's Theorem to evaluate \int\limits_{}^{} {\int\limits_S^{} {curl\mathop F\limits^ \to } } \bullet d\mathop S\limits^ \to Here \mathop F\limits^ \to \left( {x,y,z} \right) = xyz\mathop i\limits^ \to + xy\mathop...

a very small cube of mass m is placed on the inside wall of a funnel. The wall of the funnel makes an angle theta with the vertical axis of rotation (dotted line). The center of the cube is a distance r from the axis of rotation. the cube is held by static friciton. The funnel is then rotated...

So, what exactly is "cubelike" about the hilbert cube? I think I am having trouble "visualizing" it. Is it just called that because it it homeomorphic to I^inf. ?