You need to put oil into the gearbox of a rebuilt machine tool. The gearbox holds 16.3 liters of oil but the only oil you have is in 1-quart containers. How many of the one quart containers of oil will you need to fill the gearbox with 16.3 liters of oil

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16-06-2019
Mathematics

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You need to put oil into the gearbox of a rebuilt machine tool. The gearbox holds 16.3 liters of oil but the only oil you have is in 1-quart containers. How many of the one quart containers of oil will you need to fill the gearbox with 16.3 liters of oil

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luisejr77 luisejr77 · Answer 1 · 2019-06-16T02:19:08+02:00

Answer: You will need 18 containers of 1-quart to fill the gearbox with 16.3 liters of oil.

Step-by-step explanation:

Knowing that you have 1-quart containers, you need to make the conversion from quarts to liters. This is:

[tex]1\ quart=0.946\ liters[/tex]

Now, since the gearbox holds 16.3 liters of oil, you can divide the volume of oil the gearbox holds by the volume of a container (which is 0.946 liters or 1-quart) to calculate how many containers of 1-quart you will need to fill the gearbox with 16.3 liters of oil.

[tex]number\ of\ containers=\frac{16.3\ liters}{0.946\ liters}=17.2[/tex]

Based on the result, you will need 18 containers of 1-quart to fill the gearbox with 16.3 liters of oil.