Question

According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 ${\mathbf{cm}}^{\mathbf{3}}$and 1 in. = 2.54 cm, express hen

Short answer

Volume in Cubic ${\mathrm{inch}}^3$ = 27.86${\mathrm{inch}}^3$

Step-by-step solution

Step 1:What is volume 

Here,

There are many units to measure the volume of the container. Volume means measuring the amount of substance which can be contained by the container. It can be also called as thespace occupied bythe system. Some example are liter, meter cube, centimeter cube etc.

V = Volume of contents (liter)

Given data

1 L = 1000${\mathrm{cm}}^3$

1 in = 2.54 cm

V = 0.473 L

Step 2:Converting volume in cm3

$$\begin{gathered} 1L=1000C{M}^3 \\ 0.473L=? \\ volumeincm=\frac{1000\left(c{m}^3\right)\times 0.473L}{1\left(L\right)} \\ Volumeincm={473}^3 \end{gathered}$$

Step 3:Converting volume in

$\mathrm{Now},\mathrm{using}\mathrm{volume}\mathrm{in}{\mathrm{cm}}^3\mathrm{we}\mathrm{can}\mathrm{find}\mathrm{out}\mathrm{volume}\mathrm{in}\mathrm{inch}$

1 in = 2.57 cm

1 in3= (2.57)3 $\mathit{c}{\mathit{m}}^{\mathbf{3}}$ (Taking Cube both side)

1 in3= 16.974 ${\mathbf{cm}}^{\mathbf{3}}$

? = 473 ${\mathbf{cm}}^{\mathbf{3}}$

$$\begin{gathered} volumeininch=473\left(c{m}^3\right)\times 1\left(inc{h}^3\right) \\ =16.974\left(c{m}^2\right) \\ volumeininch=27.86inc{h}^3 \end{gathered}$$

Hence volume of container in cubic inches is 27.86