Calculate Cube Side Length: Finding the Edge When Volume = 1331

Question

The volume of the cube is equal to 1331.

Ho long is the side of the cube?

aaa

Video Solution

Solution Steps

00:06 Let's find the length of the cube's edge.
00:09 We'll use the cube volume formula: edge to the power of three.
00:13 Now, let's plug in the values and solve for edge, A.
00:24 And, that's how we find the solution! Great job!

Step-by-Step Solution

To solve this problem, we need to find the side length of the cube given that its volume is 1331 cubic units.

We use the formula for the volume of a cube:
V=a3 V = a^3

Here, the volume V V is 1331, so substituting into the formula gives:
1331=a3 1331 = a^3

To find a a , take the cube root of both sides:
a=13313 a = \sqrt[3]{1331}

Calculating the cube root, we find:
a=11 a = 11

Thus, the side length of the cube is 11\mathbf{11}. This corresponds to choice 3 from the options provided.

Answer

11