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

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. Substitute the value into the formula:
\( V = s^3 \)
So, \( 27 = s^3 \)

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

3. Calculate the cube root:
\( s = 3 \) cm,
because \( 3^3 = 3 \times 3 \times 3 = 27 \).

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