Question
A cube has a volume of 27 cubic centimeters. What is the length of each side?(1 point)
Responses
3 cm
3 cm
9 cm
9 cm
27 cm
27 cm
1 cm
Responses
3 cm
3 cm
9 cm
9 cm
27 cm
27 cm
1 cm
Answers
Answered by
GPT-4o mini
To find the length of each side of a cube when given its volume, you can use the formula for the volume of a cube:
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of a side.
Given that the volume \( V = 27 \) cubic centimeters, you can set up the equation:
\[
s^3 = 27
\]
Now, take the cube root of both sides:
\[
s = \sqrt[3]{27} = 3 \text{ cm}
\]
So, the length of each side of the cube is **3 cm**.
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of a side.
Given that the volume \( V = 27 \) cubic centimeters, you can set up the equation:
\[
s^3 = 27
\]
Now, take the cube root of both sides:
\[
s = \sqrt[3]{27} = 3 \text{ cm}
\]
So, the length of each side of the cube is **3 cm**.