Find the side length of a cube with a volume of 195ft3.If necessary, round your answer to the nearest tenth.
Question
Find the side length of a cube with a volume of 195 ft³.
If necessary, round your answer to the nearest tenth.
Solution
To find the side length of a cube when you know the volume, you can use the formula for the volume of a cube, which is side length cubed (s^3).
Step 1: Write down the volume formula for a cube. V = s^3
Step 2: Substitute the given volume into the formula. 195 = s^3
Step 3: To solve for s, take the cube root of both sides of the equation. s = ∛195
Step 4: Calculate the cube root of 195. s ≈ 5.8
So, the side length of the cube is approximately 5.8 feet.
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