Three beakers contain different volumes of water of 81 cm3...

Three beakers contain different volumes of water of 8.1 cm3, 0.64 L. and 2.7 dL. If all three volumes were mixed together in a larger container, what would the final volume in mL be?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Transcript

00:02 Hi there.

00:03 To determine the total volume in milliliters, we need to add these volumes together.

00:12 But we know that we can only add together substances that are in the same unit.

00:18 So since we want our total volume in milliliters, i'm going to convert each of these values to milliliters, and then we can add those together.

00:27 So to start with, we have 8 .1 cubic centimeters, centimeters cubed, and we know that a cubic centimeter is the same as a milliliter.

00:39 So in other words, it's a one -to -one relationship.

00:43 One cubic centimeter is the same as one millimeter.

00:46 So this gives us 8 .1 milliliters for our first sample.

00:51 Our second sample is 0 .64 liters.

00:57 Well, we can convert from liters to milliliters by using the relationship between liters and milliliters.

01:08 There are 1 ,000 milliliters in every liter.

01:12 So when we take 0 .64 times 1 ,000, we get 640.

01:22 And then finally, we have 2 .7 deciliter.

01:27 Well, dese means 10 to the negative 1, while millie means 10 to the negative 3rd.

01:34 So therefore, in one deciliter, there are going to be 100 milliliters because the difference between them is a power of 10 to the second.

01:43 This gives us 270 milliliters...

Question

Three beakers contain different volumes of water of 8.1 cm3, 0.64 L. and 2.7 dL. If all three volumes were mixed together in a larger container, what would the final volume in mL be?

Please give Ace some feedback