Volume of Solids

V = (Area of triangle) × height

V = (Area of rectangle) × height

V = (Area of pentagon) × height

V = (Area of trapezoid) × height

Rectangular prism

Triangular prism

Regular pentagonal prism

Triangular pyramid

V = Bh

V = 1/3 Bh

V = πr²h

V = 4/3 πr³

Both have circular bases.

Both have two congruent bases and use the area of the base times the height.

Both use π in their formulas.

Both have only one base.

The volume of a cone is half the volume of a sphere with the same radius and a diameter equal to the height of the cone.

The volume of a cone is three times the volume of a sphere with the same radius and a diameter equal to the height of the cone.

The volume of a sphere is twice the volume of a cone with the same radius and a height equal to the diameter of the sphere.

The volume of a sphere is two thirds of the volume of a cylinder with the same radius and a height equal to the diameter of the sphere.

The volume of a cylinder is two thirds of the volume of a sphere with the same radius and a diameter equal to the height of the cylinder.