Question

Question #2d125

Answer 1

Yes. One cubic meter = 1,000,000 cubic centimeters.

Explanation:

Here's why. You started with

1 meter = 100 centimeters

Now, in order to figure out the number of cubic centimeters in a cubic meter, you're going want to cube both sides. Why cube? Well, because it's cubic centimeters and cubic meters.

`("1 meter")^3=("100 centimeters")^3`

Since

• `"1 cubic meter" = "1 meter"^3`

and

• `"1 cubic centimeter" = "1 centimeter"^3`

we can rewrite the equation as follows:

`"1 cubic meter" = "1,000,000 cubic centimeters"`

Hope this helped! I know that this was a slightly unclear explanation of cubic units and regular units but I tried to the best of my ability to help make the concept as clear as possible. All the best!

Answer 2

`1" m"^3 = 1000000" cm"^3`

This says that there are 1 million cubic centimeters in a cubic meter

Explanation:

All that they are asking is to start with the following equation:

`1" m" = 100" cm"`

Raise both sides of the equation to the third power:

`(1" m")^3 = (100" cm")^3`

Perform the implied multiplication:

`(1" m")(1" m")(1" m") = (100" cm")(100" cm")(100" cm")`

`1" m"^3 = 1000000" cm"^3`

This says that there are 1 million cubic centimeters in a cubic meter