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Given the conversion [tex]\( 1 \, \text{cm}^3 = 1 \, \text{mL} \)[/tex], calculate the volume in liters for [tex]\( 62 \, \text{qt} \)[/tex].

Choose the correct answer:

A. [tex]\( 52.4 \, L \)[/tex]

B. [tex]\( 58.7 \, L \)[/tex]

C. [tex]\( 54.4 \, L \)[/tex]

D. [tex]\( 49.2 \, L \)[/tex]

E. [tex]\( 41.9 \, L \)[/tex]


Sagot :

To convert quarts (qt) to liters (L), we need to know the conversion factor between these two units of volume.

1 quart is approximately equal to 0.946353 liters.

Given that we have 62 quarts, we apply this conversion factor to determine the equivalent volume in liters:

[tex]\[ \text{Liters} = \text{Quarts} \times \text{Conversion factor} \][/tex]

Substituting the values, we get:

[tex]\[ \text{Liters} = 62 \, \text{qt} \times 0.946353 \, \text{L/qt} \][/tex]

Multiplying these values together:

[tex]\[ \text{Liters} = 58.673886 \, \text{L} \][/tex]

Rounding this result to the nearest tenth, we get:

[tex]\[ \text{Liters} \approx 58.7 \, \text{L} \][/tex]

Thus, 62 quarts is approximately equal to 58.7 liters. So, the correct answer from the given options is:

[tex]\[ \boxed{58.7} \][/tex]