Question

find the side length of a cube with a volume of 941 cm³. if necessary, round your answer to the nearest tenth.

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube with side length \( s \) is given by the formula \( V = s^3 \). We need to find \( s \) when \( V = 941 \, \text{cm}^3 \). So we have the equation \( s^3=941 \).

Step2: Solve for \( s \)

To find \( s \), we take the cube root of both sides of the equation. So \( s=\sqrt[3]{941} \). Using a calculator, we find that \( \sqrt[3]{941}\approx9.8 \) (rounded to the nearest tenth).

Answer:

\( 9.8 \)