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Sagot :
Missing part of the equation is 6.0 × [tex]10^{-8}[/tex] [tex]m^{3}[/tex].
It is given that students sets up the equation (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].
i.e. we have units of [tex]cm^{3}[/tex] and wants units of [tex]m^{3}[/tex] .
We know that 100 cm = 1 meter
i.e. 100cm/1 meter
⇒ [tex](100cm/1 meter)^{3}[/tex] = 1 × [tex]10^{6} cm^{3}/m^{3}[/tex]
⇒1/(1 × [tex]10^{6} cm^{3}/ m^{3}[/tex]) = (1 × [tex]10^{-6} m^{3}/cm^{3}[/tex])
We can use this new conversation factor to convert volume from [tex]cm^{3}[/tex] to [tex]m^{3}[/tex].
(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{-6} m^{3}/cm^{3}[/tex]) = (_) [tex]m^{3}[/tex]
(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{6} cm^{3}/m^{3}[/tex]) = 6.0 × [tex]10^{-8} m^{3}[/tex].
This is the required equation.
If we want to convert measurement,
to convert a smaller unit to a larger init, divide it by the number of smaller units which are needed to make larger unit. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.
A conversation factor is a number used to change one set of units to another, by multiplying or dividing.
Given question is incomplete.
a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].
To know more about measurement here
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