Tabitha found the side length of a cube with a volume of 512 cm3

Question

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
5.19 cm
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Answer 1

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

1. Write the volume formula for a cube: \( V = s^3 \)

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

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

4. Solution and explanation: \( s = 3 \) cm because \( 3^3 = 3 \times 3 \times 3 = 27 \).

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