A Frustum is a three-dimensional geometric shape which resembles a cone with the top cut off.

The top and base diameters are parallel and on the centre of axis.

## The Frustram Calculator uses the following Math Formula

### Slope Height of a Frustrum Formula

s = √( (r2 - r1)^{2}+h^{2})

### Surface area of the top of a Frustrum Formula

T = πr1^{2}

### Surface area of the base of a Frustrum Formula

B = πr2^{2}

### Lateral surface area of a Frustrum Formula

L = π x (r1 + r2) x s

### Total area of a Frustrum Formula

a = T + B + L

### Volume of a Frustrum Formula

V = (1/3) x π x h x (r1^{2} + r2^{2} + (r1 * r2) )

Where:

**h**: The vertical height of the frustum **s**: The length of the sloped side **d1**: Diameter of the top, equal to twice the top radius **d2**: Diameter of the base, equal to twice the base radius **r1**: Radius of the top of the frustum, equal to half the top diameter **r2**: Radius of the base, equal to half the base diameter **T**: Surface area of the top in square units **L**: The Lateral surface area in square units **B**: Surface area of the circular base in square units **A**: A Total surface area in square units **V**: The volume of the frustum in cubic units

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