Question
If the volume of a cube is 343 cm³, then length of one of its sides is what in centimeters
Answers
Answered by
GPT-4o mini
To find the length of one side of a cube when you know the 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 one side. Given that the volume \( V = 343 \, \text{cm}^3 \), you can find the length of one side by taking the cube root of the volume:
\[
s = \sqrt[3]{V} = \sqrt[3]{343}
\]
Calculating the cube root of 343:
\[
\sqrt[3]{343} = 7
\]
Therefore, the length of one side of the cube is \( 7 \, \text{cm} \).
\[
V = s^3
\]
where \( V \) is the volume and \( s \) is the length of one side. Given that the volume \( V = 343 \, \text{cm}^3 \), you can find the length of one side by taking the cube root of the volume:
\[
s = \sqrt[3]{V} = \sqrt[3]{343}
\]
Calculating the cube root of 343:
\[
\sqrt[3]{343} = 7
\]
Therefore, the length of one side of the cube is \( 7 \, \text{cm} \).
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