Two cube-shaped boxes are stacked one above the other. The volume of one box is 512 cubic meters, and the volume of the other box is 216 cubic meters. What is the total height of the stacked boxes?

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The lengths of the sides are 8 and 6, so what do you think?

To find the total height of the stacked boxes, we need to add the heights of both boxes. We can calculate the height of each cube-shaped box first.

The volume of a cube can be found by raising its side length to the power of 3. So, we can take the cube root of the volume to find the side length.

Let's start with the first box with a volume of 512 cubic meters.

Cube root of 512 = 8 meters

Therefore, each side of the first box measures 8 meters.

Next, let's calculate the height of the second box with a volume of 216 cubic meters.

Cube root of 216 = 6 meters

Therefore, each side of the second box measures 6 meters.

Now, we can find the total height by adding the heights of both boxes:

Total height = height of the first box + height of the second box

Total height = 8 meters + 6 meters

Total height = 14 meters

Therefore, the total height of the stacked boxes is 14 meters.