# CBSE Class 10 Maths Revision Notes Chapter 13

## Class 10 Mathematics Revision Notes for Surface Areas and Volumes of Chapter 13

The course and curriculum of Class 10 are vast and in-depth. It does require hard work and consistent practice to score good marks in examinations. Students have to continuously revise and practice Class 10 Mathematics Chapter 13 Notes to master all the concepts. To make it easy for students, Extramarks has provided an entire list of Class 10 Mathematics Revision Notes for Surface Areas and Volumes of Chapter 13 which can be accessed with a click. Apart from revision notes, students can also access CBSE Syllabus with notes, CBSE Previous Questions, CBSE Important Questions, previous question papers, etc. The notes have been prepared after referring to NCERT books and CBSE guidelines.

Class 10 Mathematics Revision Notes for Surface Areas and Volumes of Chapter 13

### Let Us Take a Quick Look at the Surface Area and Volume of a Few Geometrical Shapes

Chapter 13 of Class 10 Mathematics is about the Surface Area and Volume of a Few Geometrical Shapes. A cuboid has three dimensions: width, length, and height. The surface area of the cuboid may be calculated using these dimensions. There are three pairings since there are six surfaces. Knowing how to compute the lateral surface area of each of the three pairings will assist you in determining the formula. This formula applies to every cuboid and may be used to compute its lateral surface area. Likewise, if you continue to the cylinder shape, you will become acquainted with the notion of curved surfaces.

### Why Should You Use Class 10 Revision Notes Maths Ch 13?

The Class 10 Revision Notes Mathematics Ch 13 that are available on the Extramarks website have been developed in a way that clears the doubts and queries of students properly. Extramarks notes for Surface Areas and Volumes will help students in knowing about the derivation of the formulas as well as utilizing them in solving the questions. The whole chapter will be thoroughly defined and clarified so that students may answer questions independently.

Find the relevant portions in the notes to thoroughly comprehend the individual 3-D forms and understand the formula with better clarity. With the aid of these notes, determine the distinctions between curved and lateral surface area and how the formulae are generated to calculate them.

### Surface Area

Surface area refers to the area occupied by a three-dimensional object. The surface area of this three-dimensional item is equal to the sum of the areas of the two-dimensional faces.

### Basically, the Surface Area Can Be Classified As

Surface area can be classified into the following:

• Curved Surface Area (CSA)

An object’s curved surface area is the total area of all its curved surfaces.

• Lateral Surface Area (LSA)

The lateral surface of an item is the area of its face minus the areas of its top and bottom.

• Total Surface Area (TSA)

The total surface area is the sum of all the faces and bases.

### Volume

The volume of a three-dimensional object is used to measure the space it occupies. Because the volume of a solid object is the product of its three dimensions, it is given in cubic units.

### Important Formulas for Surface Areas and Volumes

Following are the important formulas for surface areas and volumes:

1. Lateral/ curved surface area
2. Total surface area
3. Volume related to 3d shapes (solid shapes)

### Surface Area and Volume of Cuboid

Following are the formulas for surface area and volume of cuboid:

### Lateral Surface Area of a Cuboid

Lateral surface area of a cuboid = 2(width×height) + 2(length×height)

### Total Surface Area of a Cuboid

Total surface area of a cuboid  = 2 (length×width) + 2(width×height) + 2(length×height)

### Volume and Surface Area of Cube

Following are the formulas for the surface area and volume of a cube:

### The Lateral Surface Area of a Cube

The lateral surface area of a cube = 4(side)^2

### Total Surface Area of a cube

Total surface area of a cube = 2×(3side2)

### Surface Area and Volume of Right Circular Cone Right Circular Cylinder

Following are the formulas for the surface area and volume of a right circular cylinder:

Lateral surface area or curved surface area of right circular cylinder = 2⊼*radius*height

### Total Surface Area of Right Circular Cylinder

Total surface area of right circular cylinder = 2⊼*radius (height + radius)

### Volume

The volume of the right circular cylinder(V) = area of the circular base x height of the right cylinder

The volume of the right circular cylinder = ⊼*radius^2*height

### Surface Area and Volume of Right Circular Cone

Following are the formulas for the surface area and volume of the right circular cone:

Curved Surface Area

Curved surface area = ½ (circumference of base)*(slant height)

Total Surface Area

Total surface area = ⊼*radius(l+r)

Volume

Volume = ⅓ ⊼*radius^2*height

## FAQs (Frequently Asked Questions)

### 1. What exactly is surface area?

The surface area of a three-dimensional form is the amount of space surrounding it.

### 2. What is the definition of volume?

A liquid, solid, or gas’s volume is the amount of three-dimensional space it occupies.

### 3. What exactly is a 'cubic' measurement?

It is a volume measurement unit (like a cubic inch or a cubic centimetre).

### 4. How to compute the volume of hemisphere on cube or hemispherical cavity on cube?

Volume can be computed in the following manner.

Volume = Volume of cube + Volume of hemisphere = a^3 + 2/3 ⊼*radius^3

=a^3 + 2/3 ⊼*(a/2)^3