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

8 cm
8 cm

9 cm
9 cm

5.19 cm
5.19 cm

3 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.

Step 1: Substitute the value into the formula. \[ V = s^3 \] \[ 27 = s^3 \]

Step 2: Take the cube root of both sides. \[ \sqrt[3]{27} = \sqrt[3]{s^3} \]

Step 3: Solve for \( s \). \[ s = 3 , \text{cm} \] because \( 3^3 = 3 \times 3 \times 3 = 27 \).

So the answer is 3 cm.