What is the volume formula for a cube with side length s?

What is the volume formula for a cube with side length s?

• A. V=s³
• B. V=s²
• C. V=3s
• D. V=4s³

Answer: (A)

Volume tells us how much space is inside a solid. For a cube, every edge is the same length, s, so you multiply the three dimensions: length × width × height = s × s × s = s^3. That makes the cube’s volume s^3. If you test a number, like s = 2, you get 8 cubic units, which matches the idea of filling the cube with unit cubes. The other expressions don’t fit because s^2 describes area (two dimensions), not volume; 3s is just a linear measurement, not a product of three dimensions; and 4s^3 would be four times the actual volume, not the volume itself.

Volume tells us how much space is inside a solid. For a cube, every edge is the same length, s, so you multiply the three dimensions: length × width × height = s × s × s = s^3. That makes the cube’s volume s^3. If you test a number, like s = 2, you get 8 cubic units, which matches the idea of filling the cube with unit cubes. The other expressions don’t fit because s^2 describes area (two dimensions), not volume; 3s is just a linear measurement, not a product of three dimensions; and 4s^3 would be four times the actual volume, not the volume itself.