Short Answer

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Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box?

I need help plzzzzzzzzzzzzzzz!!!!!!!!!!!

the volume of a box with side length x is x^3

Since 216 is an integer, and this is clearly an exefics in basic math, check first for an integer answer.
4^3 = 64
5^3 = 125
6^3 = 216 <<<<<<<<<-------------------

To find the length of each side of the box, we need to find the cube root of the volume. The formula to find the side length of a cube given its volume is:

Length of each side = ∛Volume

In this case, the volume is given as 216 cubic inches. So, let's calculate the cube root of 216:

∛216 = 6

Therefore, the length of each side of the box is 6 inches.

To find the length of each side of the box, we need to determine the cube root of the box's volume. Since the volume is given as 216 cubic inches, we can find the cube root of 216.

To find the cube root, we can use a calculator or the arithmetic functions on our computer or smartphone. Alternatively, we can use a method called prime factorization.

Let's use prime factorization to find the cube root of 216. We start by factoring 216 into its prime factors:

216 = 2 * 2 * 2 * 3 * 3 * 3

Next, we group the prime factors in sets of three:

216 = (2 * 2 * 2) * (3 * 3 * 3)

Now, we can see that there are two sets of 3 identical factors: 2 * 2 * 2 and 3 * 3 * 3. So, we can take one factor from each set:

Cube root of 216 = 2 * 3 = 6

Therefore, the length of each side of the box is 6 inches.