Question

Help please! And can you show step by step work

Answer 1

Answer:

2.1134 liters

Step-by-step explanation:

There are 4 quarts in a gallon and each quart is 1.0567 liters. 2 quarts are 1/2 a gallon. 1.0567*2=2.1134

Answer 2

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Answer:

  2.  1.8927 L

  3.  603.22 cm²

Step-by-step explanation:

To convert units, multiply by a ratio whose value is 1. That is, the numerator and denominator are equal amounts, but have units that cancel ones you don't want and give you units you do want.

2.

  $\displaystyle \frac{1}{2}\text{ gal}\times\frac{4\text{ qt}}{1\text{ gal}}\times\frac{1\text{ L}}{1.0567\text{ qt}}=\frac{4}{2\times1.0567}\text{ L}\approx\boxed{1.8927\text{ L}}$

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3.

  $A=LW=(8.5\text{ in})(11\text{ in})\times\left(\dfrac{2.54\text{ cm}}{1\text{ in}}\right)^2=\boxed{603.2246\text{ cm}^2}$

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Additional comment

It can be helpful to remember that a liter is larger than a quart. So 2 quarts will be less than 2 liters. (You may recall reading on the half-gallon container that it holds 1.89 L.)