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8090 [49]
3 years ago
7

the total volume of a cube is 360 inches to the third power how do you write 2 different possible sets of diminsions for the cub

e
Mathematics
2 answers:
zloy xaker [14]3 years ago
7 0

If it's really a cube, then it can have only one set of dimensions.
Actually, only one dimension ... the length of every edge is the
same number.

The volume of a cube is the cube of its edge length.  So the
length of every edge is the cube root of its volume.

But the dimension can sometimes be written in different ways.

Volume = 360 inch³

Edge length =  ∛(360 inch³)

                    = ∛360  inches

                    =  3 ∛(13 and 1/3)  inches

                    =  4 ∛5.625  inches

                    =  5 ∛2.88    inches

                    =  6 ∛(1 and 2/3)  inches  .

Amiraneli [1.4K]3 years ago
5 0
Well,

Since it's a cube, there will only be one real dimension, and that will be the cube root of 360.

\sqrt[3]{360} = 2\sqrt[3]{45}\ inches

The only way to write different dimensions is to write using different units.

12 in. = 1 ft.

\frac{2\sqrt[3]{45}}{12} = \frac{\sqrt[3]{45}}{6}\ feet
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<h3>How to illustrate the information?</h3>

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.

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PLEASE HELP 46 POINTS Use composition of functions to determine whether or not f(x) and g(x) are inverses of each other. Show al
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Remark

The reason you are not getting many replies to this is an uncertainty about f(x). We do not know if you mean f(x) = 2/(x - 6) or f(x) = (2/x) - 6. We'll try it both ways.

First Way f(x) = 2/(x - 6)

f(x = y = 2/(x - 6)             Interchange x and y

x = 2 / (y - 6)                   Multiply both sides by y - 6

x(y - 6) = 2                      Divide by x

y - 6 = 2/x                       Add 6 to both sides.

y  = 2/x + 6                     Which is close to g(x) but it is not the same thing, even if you use x as a common denominator. That would give you

\dfrac{6x + 2}{x}

Second Way: f(x) = (2/x) - 6

f(x) = y = (2/x) - 6           Interchange x and y

x = (2/y) - 6                    Add 6 to both sides

x + 6 = 2/y                     Multiply  both sides by y

y(x + 6) = 2                    Divide by sides by (x + 6)

y = 2/(x + 6)  

Comment

These do not look anything alike so g(x) and f(x) are not inverses.

         

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