Question

Samuel bought a 0.9-liter box of juice and two cans of juice, 350 ml each. What is the total volume of the juice he bought?

Answer 1

1.6 L or 1600 mL

Explanation:

You want to know the total volume of one 0.9 L box and two 350 mL boxes.

Units

The units are related by ...

1 L = 1000 mL

Volume

Then the volumes of the given boxes are ...

0.9 L = 900 mL

350 mL = 0.35 L

You can add the volumes in either of the like units:

900 mL + 2 × (350 mL) = 1600 mL

0.9 L + 2 × (0.35 L) = 1.6 L

The total volume of the juice boxes is 1.6 L or 1600 mL.

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Additional comment

You can convert the units a couple of ways.

1. Multiply the unit equivalence equation by an appropriate factor:
   0.9(1 L = 1000 mL) ⇒ 0.9 L = 900 mL
2. Multiply one of the measures by a fraction that changes the units:
   
   `0.9\text{ L}=(0.9\text{ L})*\frac{1000\text{ mL}}{1\text{ L}}=900\text{ mL}`

Because the fraction has equal measures in the numerator and denominator, it does not change the size of the volume. It only changes the units of the volume.