Question

decide whether each proposed multiplication or division of measurements is possible. if it is possible, write the result in the
proposed multiplication or division is this possible? result
$\frac{27. g}{9.0 cm}=?$ yes no
$(1.2 cm^{2})cdot(0.23 m)=?$ yes no
$(4.0 m^{3})cdot(7.0 m)=?$ yes no

Explanation:

Step1: Analyze $\frac{27\text{ g}}{9.0\text{ cm}}$

Mass divided by length is a valid operation in terms of getting a quantity with units of mass - per - length. Calculate $\frac{27}{9.0}=3$. So the result is $3\text{ g/cm}$.

Step2: Analyze $(1.2\text{ cm}^2)\cdot(0.23\text{ m})$

First, convert the units to be consistent. Since $1\text{ m} = 100\text{ cm}$, then $0.23\text{ m}=23\text{ cm}$. Then $(1.2\text{ cm}^2)\cdot(23\text{ cm})=(1.2\times23)\text{ cm}^3 = 27.6\text{ cm}^3$.

Step3: Analyze $(4.0\text{ m}^3)\cdot(7.0\text{ m})$

Volume times length gives a quantity with units of volume - times - length. Calculate $(4.0\times7.0)\text{ m}^4=28\text{ m}^4$.

Answer:

proposed multiplication or division	Is this possible?	result
$(1.2\text{ cm}^2)\cdot(0.23\text{ m})$	yes	$27.6\text{ cm}^3$
$(4.0\text{ m}^3)\cdot(7.0\text{ m})$	yes	$28\text{ m}^4$