Chapter 13 Surface Areas and Volumes

Having a good background in math is important from a career perspective, and 10th grade is the time to build a solid foundation there. Our team of experts at Vidyakul have created a step-by-step notes for Chapter 13 Grade 10 Math that will clarify your concepts at a basic level. Once you've gone through the clear notes for area and volume 10th grade methods provided by our subject experts, you don't need to prepare any formulas. Many tips and tricks are taught here to quickly recall the important points of chapter 13 Grade 10 Math. Grade 10 Area and Volume notes are designed taking into account the latest CBSE programming; so students can be sure to score well in math with our notes. Additionally, you can review and troubleshoot the updated NCERT Book notes we provide. 

MATHEMATICS NOTES CLASS 10th CH-13

Points to Remember

The following table presents a brief summary of different solid shapes with its surface area and volume formulas:

 

Shape	Parameters	Surface Area (Square units)	Volume (Cubic units)
Cuboid	Length = l Breadth = b Height = h	TSA = 2(lb + bh + lh) LSA = 2h(l + b)	V = l × b × h
Cube	Length = Breadth = Height = l	TSA = 6l2 LSA = 4l2	V = l3
Cylinder	Radius = r Height = h	CSA = 2π × r × h TSA = 2πr(h + r)	V = πr2h
Cone	Radius = r Height = h Slant Height = l	CSA = πrl TSA = πr(l + r)	V = (1/3)πr2h
Sphere	Radius = r	CSA = TSA =  4πr2	V = (4/3)πr3
Hemisphere	Radius = r	CSA = 2πr2 TSA = 3πr2	V =  (2/3)πr3
Frustum	Radius of top circular part = r1 Radius of bottom circular part = r2 Height = h Slant height = l	CSA = π(r1+r2)l TSA = π(r1 + r2)l + π(r12 + r22)	V = (1/3)πh(r12 + r22 + r1r2)

 

Topics and Sub-topics

The following is the concept of surface area and volume for class 10. In this article, we will discuss surface area and volume for various solid shapes such as cube, cuboid, cone, cylinder, etc. Surface area can generally be divided into lateral area (LSA), total surface area (TSA) and curved area (CSA). Here we will discuss in detail the surface area formula and volume formula for various 3D geometries. In this chapter, you will learn various combinations of solid shapes. The procedure for finding the volume and area of ​​a surface is also detailed.

13.1	Introduction
13.2	Surface Area and Volume of Cuboid
13.3	Surface Area and Volume of Cube
13.3.1	Surface Area and Volume of Cylinder
13.3.2	Surface Area and Volume of Right Circular Cone
13.4	Surface Area and Volume of Sphere
13.5	Surface Area and Volume of Hemisphere
13.6	Surface area and Volume of Combination of Solids
13.7	Surface area and Volume of Combination of Solids
13.8	Surface area and volume of Frustum of a cone
13.9	Conversion of Solid from One Shape to Another

 

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