Sketches Volume of a pyramid Formula : (G * h) / 3 = V

G = base area of the pyramid (^{a2} )

Example calculation: (^{5cm2} * 10cm) / 3 = 83.^{33cm3} The volume is 83.^{33cm3} .

Pyramid sketch Volume of a sphere Formula : 4/3 * Π * ^{r3} = V

Example calculation: 4/3 * Π * ^{5cm3} = ~523.60 ^{cm3} The volume is 523.60 ^{cm3} .

Sphere sketch Volume of a cylinder Formula : Π * ^{r2} * h = V

Π (Pi) = 3.141592 (Only 6 decimal places are shown for Pi.)

Example calculation: Π * ^{3cm2} * 10cm = 282.^{74cm3} The volume is 282.^{74cm3} .

Cylinder sketch Volume of a cuboid Formula : a * b * h = V

Example calculation: 10cm * 5cm * 6cm = ^{300cm3} The volume is ^{300cm3} .

Cuboid sketch Volume of a cube Formula : a * a * a = V

Example calculation: 3cm * 3cm * 3cm = ^{27cm3} The volume is ^{27cm3} .

Cube sketch Volume of a cone Formula : (Π * ^{r2} * h) / 3 = V

Π (Pi) = 3.141592 (Only 6 decimal places are shown for Pi.)

Example calculation: (Π * ^{3cm2} * 10cm) / 3 = 94.^{25cm3} The volume is 94.^{25cm3} .

Cone sketch Calculating the volume of a solid is usually taught in school from the 6th grade and is an integral part of the math curriculum.

Cuboid: V = a * b * c Cube: V = a * a * a Cone: V = (pi * radius² * height) : 2 Cylinder: V = Pi * radius² * height Pyramid: V = (base area (a * b) * height) : 3 Sphere: V = 4/3 * Pi * r³ The formula for the volume of a cuboid is: V = a * b * c

The formula for the volume of a cube is: V = a * a * a

The formula for the volume of a cone is: V = (Pi * radius² * height) : 2

The formula for the volume of a cylinder is: V = Pi * radius² * height

The formula for the volume of a pyramid is: V = (base area of the cuboid (a * b) * height) : 3

The formula for the volume of a sphere is: V = 4/3 * Pi * r³