Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)

# The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. What is the domain and range of this function?

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The domain and the range are both all nonnegative real numbers.

Posted on May 09, 2014

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### What is the formula for the volume of a rectangular solid?

L x B x H
L=Length
H = Height
Here; the volume of the said block is:
6.8m x 2.5m x 2.0m = 34 Meter Cube

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### What is the Formula for calculating volume of a cylinder

volume is calculated by finding the area multiplied by the length or height . That is Pi X radius squared X length
example --tube 6"dia 12"long what is the volume?
Example 3.1417 X radius 3" Squared =3.1417X9sq " = 28.2740sq" X length 12" =338.688 cubic"
If you want the volume of an engine cylinder , it is the same formula and the length is the stroke of the piston ( distance from TDC to BDC )

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### How to convert cbm into sq meter

Now cubic meter calculator can be defined as a simple device which is used to convert a given value in meters to it's corresponding cubic meter form. Other than this we can always add the formulaes of the structures to get the volume of the structure by simply entering it's side length or height etc..
Let us consider simple examples :
Suppose that we have to convert 5 meters to its cube. The only thing we would do is that we would enter this value of 5 in the calculator and calculator with do the calculation as $\displaystyle{{5}}^{{3}}$ and will show the result to you as 125 $\displaystyle{{m}}^{{3}}$ .
Now if we have added formulaes to this calculator , like for calculating the volume of cube,cylinder and cone (say). Then we can use this calculator in three different cases.

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### One cube has a face equivalent to the total area of another cube. find the ratio of their volumes?

Let the sides of the cubes be a and b,

the length of the diagonal of the cube whose side is b is given as square root(3)*b

according to the given question,

a=square root(3)*b

the volume of the cube with side a is given as

v1=a^3=(square root(3)*b)^3

and the volume of the cube with side b is

v2=b^3

then their ratio of volumes is given as

v1/v2=3*square root(3)*b^3/b^3=3*square root(3)

i.e v1:v2=3*square root(3):1

Next qwasthun pwease :D

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### Inputting the Domain Range

Feb 26, 2010 - I was right to suggest to you to read the page on domain and range of functions: it would have clarified the concepts to you.
The domain of the sine function is from -infinity to + infinity. But since the function is periodic, with a period equal to 2Pi, by limiting the DOMAIN of values to -1*Pi to +1*PI you see all there is to see. All the rest can be obtained by translation of the curve.

The RANGE of the sine function is LIMITED to values in the interval [-1, 1]
Let us summarize: The DOMAIN of the sine function is ]-infinity, +infinity[ and its RANGE is [-1,+1].
That being said, there is something I would like to point to you
These are the numbers.

You want a "square", so be it. Here is the window setting
and the corresponding picture. Does it look like a square?

Why do you insitst on drawing a square? Horizontally you have the angle ( a number with a unit), while vertically you have a ratio of two lengths ( a pure number). Would even think about a square if you drew your sine function with the degree as angle unit. Horizontally you would have a domain [-180 degrees, 180 degrees] while vertically you have a range [-3.14..., +3.14...]. How can that be a square?

I showed you how you can fix every dimension in the graph window (see the first picture) . Choose any values that you believe will give you a square graph. And I do mean to say "that make you believe", because there is no meaning attached to the "fact" that the window looks like a square. An angle cannot be compared to a the projection of one side of a right triangle onto the hypotenuse.

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