Tabitha found the side length of a cube with a volume of%C2%A0 512%C2%A0cm3 %C2%A0using the following steps: Cube%C2%A0 V=s3 Step 1: Substitute the value into the formula%C2%A0 512=s3 Step 2: Take the cube root of both sides%C2%A0 512−−−√3=s3−−√3 Step 3: Solution and explanation%C2%A0 s=8%C2%A0cm %C2%A0because%C2%A0 83=8×8×8=512 Follow Tabitha's steps to find the side length of a cube with a volume of%C2%A0 27%C2%A0cm3 . (1 point) Responses 3 cm 3 cm 8 cm 8 cm 5.19 cm 5.19 cm 9 cm

Answer 1

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

Step 1: Write the equation using the formula for the volume of a cube, \( V = s^3 \). For a volume of 27 cm³, we have:

\[ 27 = s^3 \]

Step 2: Take the cube root of both sides:

\[ \sqrt[3]{27} = s \]

Step 3: Find the cube root of 27:

Since \( 3^3 = 27 \), we have:

\[ s = 3 \text{ cm} \]

So, the side length of the cube is \( 3 \text{ cm} \).

Therefore, the correct response is 3 cm.