Answer :
Answer:
28.9 in^3
Explanation:
Converting units litres(L) to be in^3 ,the ratios with the same units will cancel out:
Volume in litre= 0.473 litres
1 litre= 1000 cm^3
1 in = 2.54cm
(0.473litres/1) * (1000cm^3/1 litre) * ( 1 in / 2.54cm)^3 = 28.9 in^3
Therefore the volume in cubic inches =28.9 in^3.
To solve the problem we must know about unit conversion and ratios.
Units conversion
Unit conversion is a way of converting some common units into another without changing their real value.
for, example, 1 centimeter is equal to 10 mm,
though the real measurement is still the same the units and numerical values have been changed.
Ratio
A ratio shows us the number of times a number contains another number.
Tthe volume of the salad dressing is 28.86 in.³.
Given to us
- the volume of the salad dressing = 0.473 liters (L),
- 1 L = 1000 cm³
- 1 in. = 2.54 cm
Conversion of cm to in
As we want to use only one conversion, we will use the ratio,
[tex]1 cm = \dfrac{1}{2.54}\ in.\\[/tex]
Cube both the sides,
[tex]1\ cm^3 = (\dfrac{1}{2.54})^3\ in^3[/tex]
[tex]1\ cm^3 = (\dfrac{1}{16.387})\ in^3[/tex]
Conversion of Liter to inhes³
[tex]0.453\ L = 0.453 \times 1000 \times \dfrac{1}{16.387} = 28.86 in.^3[/tex]
Hence, the volume of the salad dressing is 28.86 in.³.
Learn more about Units conversion:
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