Question

Tabitha found the side length of a cube with a volume of 512 cubic centimeters using the following steps.

Cube V = s3

1. Substitute value into formula: 512 = s cubed. 2. Undo the cube: RootIndex 3 StartRoot 512 EndRoot = s. 3. Solution and explanation: s = 8 centimeters because 8 cubed = 8 times 8 times 8 = 512.


Follow Tabitha’s steps to find the side length of a cube with a volume of 27 cm3.

What is the side length?
cm

Answer 1

To find the side length of a cube with a volume of 27 cubic centimeters, we can follow the same steps as Tabitha.

1. **Substitute value into the formula for volume of a cube:**
\( V = s^3 \)
Thus, we have \( 27 = s^3 \).

2. **Undo the cube (find the cube root):**
\( s = \sqrt[3]{27} \).

3. **Calculate the cube root:**
The cube root of 27 is 3, because \( 3^3 = 3 \times 3 \times 3 = 27 \).

So, the side length \( s = 3 \) centimeters.

The side length is **3 cm**.