Question

Tabitha found the side length of a cube with a volume of 512 cm3
using the following steps:

Cube V=s3


Step 1: Substitute the value into the formula 512=s3


Step 2: Take the cube root of both sides 512−−−√3=s3−−√3


Step 3: Solution and explanation s=8 cm
because 83=8×8×8=512


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

(1 point)
Responses

9 cm
9 cm

3 cm
3 cm

8 cm
8 cm

5.19 cm

Answer 1

To find the side length of a cube with a volume of 27 cm³, we can follow the same steps Tabitha used.

1. **Cube Volume Formula**: The volume of a cube \( V \) is given by the formula \( V = s^3 \).
2. **Substitute the value into the formula**: We have \( 27 = s^3 \).
3. **Take the cube root of both sides**: \( \sqrt[3]{27} = s \).
4. **Calculate the cube root**: \( s = 3 \) cm, because \( 3^3 = 3 \times 3 \times 3 = 27 \).

The side length of the cube is **3 cm**.

So, the correct response is **3 cm**.