Understanding the Volume of a Cube

The video tutorial explains how to find the volume of a cube using the prism formula. It begins with an introduction to cubes, describing their properties. The tutorial then applies the prism formula, which involves calculating the base area and multiplying it by the height. For cubes, this simplifies to the side length cubed. The video concludes with a review of the steps and emphasizes the importance of understanding the formula's derivation from the prism formula.

What is a characteristic feature of a cube?

• It has six equal faces.

• It is a two-dimensional shape.

• It has four faces.

• All its sides are of different lengths.

Which formula is used to find the volume of a prism?

• Base area minus height

• Base area plus height

• Base area times height

• Base area divided by height

If a cube has a side length of 5, what is the area of its base?

• 10

• 15

• 20

• 25

How do you calculate the volume of a cube with side length 5?

• 5 + 5 + 5

• 5 * 5 * 5

• 5 - 5 - 5

• 5 / 5 / 5

What is the simplified formula for the volume of a cube?

• S squared

• S cubed

• S plus S

• S minus S

Why can the volume formula for a cube be simplified?

• Because all sides are different

• Because all sides are equal

• Because it has no height

• Because it is a two-dimensional shape

What is the unit of volume for a cube?

• Square units

• Circular units

• Linear units

• Cubic units

From which formula is the cube volume formula derived?

• Rectangle area formula

• Triangle area formula

• Prism volume formula

• Circle area formula

What is the base area of a square with side length S?

• S / S

• S - S

• S * S

• S + S

What is the volume of a cube with side length S?

• S plus S

• S cubed

• S squared

• S minus S