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# Surface Areas and Volumes class 10 Notes Mathematics

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## CBSE Guide Surface Areas and Volumes class 10 Notes

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## 10 Mathematics notes Chapter 13 Surface Areas and Volumes

Download CBSE class 10th revision notes for Chapter 13 Surface Areas and Volumes in PDF format for free. Download revision notes for Surface Areas and Volumes class 10 Notes and score high in exams. These are the Surface Areas and Volumes class 10 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the the best tips recommended by teachers during exam days.

CBSE Class 10 Mathematics
Revision Notes
CHAPTER 13
SURFACE AREAS AND VOLUMES

1. Surface Area of a Combination of Solids
2. Volume of a Combination of Solids
3. Conversion of Solid from One Shape to Another
4. Frustum of a Cone
5. Miscllaneous Questions

CUBOID

1. Surface area of cuboid  = $2\left( {lb + bh + hl} \right)$ sq. units
2. Volume of Cuboid = $lbh$ cubic units

CUBE

1. Surface area of cube = $6{s^2}$ sq. units
2. Volume of cube = ${s^3}$ cubic units

CYLINDER

1. Curved surface area of cylinder of radius r and height $h = 2\pi rh$ square units.
2. Total surface area of cylinder of radius r and height ${\text{h }} = {\text{ 2}}\pi {\text{r }}\left( {{\text{r }} + {\text{ h}}} \right)$square units.
3. Volume of cylinder of radius r and height $h = \pi {r^2}h$  cubic units.

CONE

1. Curved surface area of cone of radius r, height h and slant height $l = \pi rl$ square units where $l = \sqrt {{r^2} + {h^2}}$
2. Total surface area of cone of radius r, slant height $l$ = $\pi r\left( {l + r} \right)$  sq. units.
3. Volume of cone of radius r, height h $= \frac{1}{3}\pi {r^2}h$ cubic units.

SPHERE

1. Total surface area of sphere of radius ${\text{r units }} = {\text{ 4}}\pi {{\text{r}}^2}{\text{sq}}.$ units.
2. Volume of sphere of radius r units $= \frac{4}{3}\pi {r^3}$ cubic units.

HEMISPHERE

1. Curved surface area of hemisphere of radius ${\text{r units }} = {\text{ 2}}\pi {{\text{r}}^2}{\text{sq}}.$ units.
2. Total surface area of a solid hemisphere of radius ${\text{r units }} = {\text{ 3}}\pi {{\text{r}}^2}{\text{sq}}.$ units.
3. Volume of hemisphere of radius r units $= \frac{2}{3}\pi {r^3}$ cubic units.

FRUSTUM

1. Curved surface area of frustum = $\pi l(r + R)$ sq. units. Where $l$ slant height of frustum and radii of circular ends are r and R.
2. Total surface area of frustum $= \;\pi l(r + R) + \pi ({r^2} + {R^2})\;$sq. units.
3. Volume of Frustum =$= \frac{1}{3}\pi h({r^2} + {R^2} + rR)$ cubic units.
4. $l = \sqrt {{h^2} + {{(R - r)}^2}}$ units

## Surface Areas and Volumes class 10 Notes

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## CBSE Class-10 Revision Notes and Key Points

Surface Areas and Volumes class 10 Notes. CBSE quick revision note for Class-10 Mathematics, Chemistry, Maths, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.

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