Lesson in calculating volume

What type of geometric figures are considered "solids" when calculating volume?

• Two-dimensional shapes

• Three-dimensional figures

• Flat surfaces

• Lines and curves

What is the formula for calculating the volume of a sphere?

• V = πr²

• V = lwh

• V = (4/3)πr³

• V = S³

When calculating the volume of a solid, what type of units should the answer be expressed in?

• Linear units

• Square units

• Cubic units

• Unitless

Which formula represents the volume of a cube, where 'S' is the length of one side?

• V = S²

• V = S³

• V = 3S

• V = S + S + S

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What is a defining characteristic of a prism?

• Its sides meet at a single point.

• It has identical top and bottom bases connected by vertical sides at right angles.

• It always has a circular base.

• Its volume is calculated by 1/3 * Area of Base * height.

What is the general formula for calculating the volume of any prism?

• V = 1/2 * base * height

• V = πr²h

• V = Area of Base * height

• V = 1/3 * Area of Base * height

Which statement accurately describes a pyramid or cone?

• It has two identical bases connected by vertical sides.

• It has a base and sides that meet at a single point.

• Its volume is always calculated using πr²h.

• It can only have a square or triangular base.

What is the general formula for the volume of a pyramid or cone, and what type of height should be used?

• V = Area of Base * height; slant height

• V = 1/3 * Area of Base * height; slant height

• V = Area of Base * height; perpendicular height from base to apex

• V = 1/3 * Area of Base * height; perpendicular height from base to apex