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 3 cm 3 cm 9 cm 9 cm 5.19 cm 5.19 cm 8 cm 8 cm

Answer 1

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

1. Cube Volume Formula: \( V = s^3 \)

2. Substitute the value into the formula: \[ 27 = s^3 \]

3. Take the cube root of both sides: \[ \sqrt[3]{27} = s \]

4. Calculate the cube root: \[ s = 3 , \text{cm} \quad \text{because} \quad 3^3 = 3 \times 3 \times 3 = 27 \]

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