How can we use the concept:
To find a cube root, solve for the number that can be multiplied by itself three times and result in the original number.
For example, ∛64 = 4 because 4 x 4 x 4 = 64.
One application of a cube root is to find the length of the edge of a cube. A cube is a three-dimensional shape that has a length, width, and height that are all the same value. Volume of a cube is calculated by multiplying these three dimensions together. Therefore, if given the volume, finding the cube root will give you the length of each side.
If given the volume of a cube is 27,
then the length of each side is 3.
3 x 3 x 3 = 27 or ∛27 = 3
Cube roots are also used in mathematics when working with exponents.
If
Sample Math Problems
Question:
∛216 = ?
Solution:
6 x 6 x 6 = 216, so ∛216 = 6
∛512 = ?
Question:
∛512 = ?
Solution:
8 x 8 x 8 = 512, so ∛512 = 8
Question:
∛1000 / ∛125 = ?
Solution:
10 x 10 x 10 = 1000 and 5 x 5 x 5 = 125, so ∛1000 / ∛125 = 10 / 5 = 2
Question:
∛64 / ∛27 = ?
Solution:
4 x 4 x 4 = 64 and 3 x 3 x 3 = 27, so ∛64 / ∛27 = 4 / 3 = 1 ⅓
