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

5.19 cm
5.19 cm

3 cm
3 cm

9 cm
9 cm

8 cm

1 answer

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

  1. Use the formula for the volume of a cube, which is \( V = s^3 \).
  2. Substitute the volume into the formula: \[ 27 = s^3 \]
  3. Take the cube root of both sides: \[ \sqrt[3]{27} = s \]
  4. Calculate the cube root: \[ s = 3 \text{ cm} \] because \( 3^3 = 3 \times 3 \times 3 = 27 \).

So, the side length of the cube is 3 cm.

The correct response is: 3 cm.