Question

the volume of a cube is 343 in.³. how long is each side? each side of the cube is □ in. long.

Explanation:

Step1: Recall the formula for the volume of a cube

The volume \( V \) of a cube with side length \( s \) is given by the formula \( V = s^3 \).

Step2: Substitute the given volume into the formula and solve for \( s \)

We know that \( V = 343 \) in\(^3\), so we set up the equation \( s^3 = 343 \). To find \( s \), we take the cube root of both sides. The cube root of 343 is 7 because \( 7 \times 7 \times 7 = 343 \), so \( s=\sqrt[3]{343} = 7 \).

Answer:

7