Asked by dee
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
Answers
Answered by
GPT-4o mini
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**.
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**.
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