Respuesta :

Capacity is the measure of an object's ability to hold a substance such as solid or fluids (gases and liquids) while volume is the amount of space occupied by an object. Volume is measured is cubic meters, cubic centimeters, cubic inches among other measurements and capacity is measured in liters, milliliters e.t.c.
1 liters is equivalent to 61.0237 cubic inches,
Therefore, 2.6 liters will be equivalent to 2.6 × 61.0237 = 158.6616 cubic inches
JeanaShupp

Answer: [tex]\text{ 2.60 liters }\approx158.66\ \text{ cubic inches}^[/tex]

Explanation:

We know that  1 inch = 2.54 centimeters

By using UNITARY METHOD,

[tex]\text{1 cm}=\dfrac{1}{2.54}\ \text{ in}[/tex]

Then, [tex]\text{1 cm}^3=(\dfrac{1}{2.54})^3=\dfrac{1}{16.387064}\ \text{ in}^3[/tex]

[tex]\text{1000 cm}^3=1000\times\dfrac{1}{16.387064}=61.0237440947\ \text{ in}^3[/tex]

Since  [tex]\text{ 1 liter =}1000\ cm^3[/tex]

Then, [tex]\text{ 1 liter =}61.0237440947\ \text{ in}^3[/tex]

[tex]\text{ 2.60 liters =}2.60\times61.02=158.661734646\approx158.66\ \text{ in}^3[/tex]

Hence, [tex]\text{ 2.60 liters }\approx158.66\ \text{ cubic inches}^[/tex]

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