# Question #2d125

Jun 15, 2017

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.

${\left(\text{1 meter")^3=("100 centimeters}\right)}^{3}$

Since

• ${\text{1 cubic meter" = "1 meter}}^{3}$

and

• ${\text{1 cubic centimeter" = "1 centimeter}}^{3}$

we can rewrite the equation as follows:

$\text{1 cubic meter" = "1,000,000 cubic centimeters}$

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!

Jun 15, 2017

$1 {\text{ m"^3 = 1000000" cm}}^{3}$

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

#### Explanation:

$1 \text{ m" = 100" cm}$

Raise both sides of the equation to the third power:

${\left(1 \text{ m")^3 = (100" cm}\right)}^{3}$

Perform the implied multiplication:

$\left(1 \text{ m")(1" m")(1" m") = (100" cm")(100" cm")(100" cm}\right)$

$1 {\text{ m"^3 = 1000000" cm}}^{3}$

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