Table of Contents

- 1 What is curved and total surface area?
- 2 What is curved surface area of an object?
- 3 How do you find the surface area of a curved surface?
- 4 How do you find the area of a curved face?
- 5 What is curved surface area of sphere?
- 6 What is curved surface area of cone?
- 7 How are surface area formulas used in geometry?
- 8 What are the three types of surface area?

## What is curved and total surface area?

Curved Surface Area (CSA) – It includes the area of all the curved surfaces. Lateral Surface Area (LSA) – It includes the area of all the surface excluding the top and bottom areas. Total Surface Area (TSA) – It includes the area of all the surfaces of the object including the bases.

### What is curved surface area of an object?

The curved surface area of a hemisphere(CSA) = ½ (curved surface area of a sphere) = ½ (4 π r2) = 2 π r2 , where “r” is the radius of the hemisphere. The total surface area of a hemisphere(TSA) = curved surface area + Base Area = 2 π r2 + π r2 = 3 π r2 , where “r” is the radius of the hemisphere.

#### How do you find the surface area of a curved surface?

The formula to calculate the total surface area of a cylinder is given as, the total surface area of cylinder = 2πr(h + r), while the curved surface area of cylinder formula is, curved/lateral surface area of cylinder = 2πrh, where ‘r’ is the radius of the base and ‘h’ is the height of the cylinder.

**What is the sum of the areas of all the faces or surfaces?**

Surface area is the sum of the areas of all the surfaces of a three-dimensional figure.

**How do you find the total surface area of a shape?**

Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

## How do you find the area of a curved face?

The curved surface area of the cone with slant height and diameter can be found by using the formula S = π(D/2)l, where D is the Diameter and l is the slant height.

### What is curved surface area of sphere?

Since the sphere is a complete curved shape therefore the curved surface area is equal to the total area of sphere. It is also called lateral surface area. Surface Area of Sphere = 4πr², where r is the radius of sphere. The distance from the center to the outer surface of sphere is called its radius.

#### What is curved surface area of cone?

Curved surface area of a cone = πrl. Total surface area of a cone = πr(l+r) l=√h2+r2.

**Which is the correct definition of total surface area?**

Total surface area refers to the area including the base (s) and the curved part. It is total of the area covered by the surface of the object. If the shape has curved surface and base, then total area will be the sum of the two areas.

**How is the surface area of an object measured?**

It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called surface area. It is also measured in square units. Total surface area refers to the area including the base (s) and the curved part.

## How are surface area formulas used in geometry?

Surface area formulas in geometry refer to the lateral surface and total surface areas of different geometrical objects. To recall, the surface area of an object is the total area of the outside surfaces of the three-dimensional object i.e, the total sum of the area of the faces of the object.

### What are the three types of surface area?

The surface area of a solid shape is categorized into three types, namely lateral surface area, curved surface area, total surface area Lateral Surface Area : The lateral surface area is known as the area of all the faces except the bottom and top faces or bases.