How many times is the volume of a cube with an edge of 9 dm greater than the volume of a cube with an edge of 3 cm?

Find the volume of a cube with an edge of 9 dm – raise the length of its edge to the third power:

9 ^ 3 = 729 dm3

For the convenience of the calculation, we will convert the length of the edge of the smaller cube to decimetres and also calculate its volume. There are 10 centimeters in one decimeter, therefore:

3: 10 = 0.3 dm length of the edge of the smaller cube in decimeters

Its volume:

0.3 ^ 3 = 0.027 dm3

Let’s compare their volumes – divide the volume of the larger cube by the volume of the smaller one:

729: 0.027 = 27,000 times

Answer: 27,000 volume is more than a cube more than a cube with an edge of 3 cm.