Riya is applaying mulch to her garden. She applies it at a rate of 250,000 cm3 of mulch for every m2 of garden space. at what rate is riya applying mulch in m3/m2?

Respuesta :

For this case the first thing you should do is take into account the following conversion:

[tex] 1m = 100cm [/tex]

Therefore, by applying the conversion we have:

[tex] (250,000\frac{cm^3}{m^2})((\frac{1}{100})^3\frac{m^3}{cm^3}) [/tex]

Rewriting we have:

[tex] (250,000\frac{cm^3}{m^2})(\frac{1}{100^3}\frac{m^3}{cm^3}) [/tex]

[tex] (250,000\frac{cm^3}{m^2})(\frac{1}{1,000,000}\frac{m^3}{cm^3}) = 0.25\frac{m^3}{m^2} [/tex]

Answer:

The rate in m^3/m^2 is:

[tex] 0.25\frac{m^3}{m^2} [/tex]

Answer:

0.25 [tex]\frac{m^{3} }{m^{2} }[/tex]

Step-by-step explanation:

Since you need to convert the cm^3 into m^3 then you start off by multiplying [tex]\frac{250,000 cm^{3} }{m^{2} }[/tex] to a fraction that represents m^3 over cm^3.

Like this:

[tex]\frac{250,000 cm^{3} }{m^{2} }[/tex]  ×  [tex]\frac{m^{3} }{1,000,000cm^{3} }[/tex]

Because cm^3 is divided by itself in the equation you cancel them both out and then your left with:

[tex]\frac{250,000m^{3} }{1,000,000m^{2} }[/tex]

And when then you divide 250,000 by 1,000,000 and you get 0.25 [tex]\frac{m^{3} }{m^{2} }[/tex] which is your answer.

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