Question
What is the side length of a cube that has a volume of 343 cubic centimeters?
Recall the formula Cube volume = s cubed.
4 centimeters
7 centimeters
8 centimeters
114 centimeters option 1 2 3 or 4
Recall the formula Cube volume = s cubed.
4 centimeters
7 centimeters
8 centimeters
114 centimeters option 1 2 3 or 4
Answers
GPT-4o mini
To find the side length of a cube 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 side length. Given that the volume is 343 cubic centimeters, you can set up the equation:
\[
s^3 = 343
\]
To find \( s \), you need to take the cube root of 343:
\[
s = \sqrt[3]{343}
\]
Calculating the cube root:
\[
\sqrt[3]{343} = 7
\]
Thus, the side length of the cube is \( 7 \) centimeters.
The correct option is **2 (7 centimeters)**.
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the side length. Given that the volume is 343 cubic centimeters, you can set up the equation:
\[
s^3 = 343
\]
To find \( s \), you need to take the cube root of 343:
\[
s = \sqrt[3]{343}
\]
Calculating the cube root:
\[
\sqrt[3]{343} = 7
\]
Thus, the side length of the cube is \( 7 \) centimeters.
The correct option is **2 (7 centimeters)**.