 # What is the of surface total surface area of frustum

Math

## Question

What is the of surface total surface area of frustum

• ### 1. User Answers anant4625

Total Surface Area Defined. Surface area means all the area that you can see in two dimensions - this means the length and width. ... Total surface area in that case means adding up the areas of all the surfaces. For a cube, that means adding up the surface area of all six sides.

• ### 2. User Answers MяƖиνιѕιвʟє

FRUSTUM OF A CONE :-

When a cone is cut by a plane parallel to the base of the cone then the portion between the plane and the base is called the frustum of the cone.

FORMULAE :-

Let R and r be the radii of the base and the top of the frustum of a cone.

Let h be its height and l be its slant height.

Then,

Volume of the frustum of the cone =

$$\implies \: \frac{\pi \times h}{3} ( {R}^{2} + {r}^{2} + Rr)$$

Lateral Surface Area of the frustum of the cone=

$$\implies \: \pi \times l(R+ r)$$

Total Surface Area of the frustum of the Cone =

$$\implies \: \pi({R}^{2} + {r}^{2} + l(R+ r)$$

where,

• R = Radius of the top of the frustum.

• r = radius of the bottom of the frustum

• h = height of the frustum

• l = Slant height of the frustum of the cone.