# What is the formula for volume of a frustum?

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## What is the formula for volume of a frustum?

V = πh/3
There are two formulas that are used to calculate the volume of a frustum of a cone. Consider a frustum of radii ‘R’ and ‘r’, and height ‘H’ which is formed by a cone of base radius ‘R’ and height ‘H + h’. Its volume (V) can be calculated by using: V = πh/3 [ (R3 – r3) / r ] (OR)

## What is the volume of a frustum of a right pyramid with the area?

With this concept, the volume of a frustum of a pyramid can be derived as V=13(h)(AL+√AL√AU+AU) V = 1 3 ( h ) ( A L + A L A U + A U ) , expressed in terms of the areas of the lower and upper bases.

How do you find the surface area and volume of a frustum?

For the total surface area, of a frustum of a right circular cone is given by the sum of the lateral surface area and area of the two bases. The volume of a frustum of a circular cone is equal to one-third of the sum of the two base areas and the square root of the two base areas, multiplied by the altitude.

### What formula is used to solve for the lateral area of a frustum of a pyramid?

The formula to find the lateral surface area of a frustum of a cone is πL(R+r) square units, where π is a constant whose value is 22/7 (or) 3.142, R is the radius of the bottom base, r is the radius of the top base, and L is the slant height.

### How do you find volume of square pyramid?

You can find the volume of a regular square pyramid using the formula volume = base area × height / 3. Take note that the base area equals the square of the pyramid’s base edge length. On the other hand, the height is the perpendicular distance between the pyramid’s base and the pyramid’s vertex.

How do you find the height of a frustum pyramid?

If a plane parallel to the base WXYZ of the pyramid cuts it in the plane W’X’Y’Z’ then the portion of pyramid between the planes WXYZ and W’X’Y’Z’ will be a frustum of the given pyramid. The perpendicular distance between this two planes is the height of the frustum.

#### How do you find the volume of a pyramid without the width?

Assuming the pyramid has a square base, find the area of the base by squaring the edge. Multiply the area by the height of the pyramid, then divide by 3. That’s the volume.

#### How do you calculate the volume of a pyramid?

A pyramid is a polyhedron formed by connecting a polygonal base and an apex. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) * base_area * height , where height is the height from the base to the apex.

• August 13, 2022