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CBSE class 10 Mathematics Chapter 13 Surface Areas and Volumes notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Surface Areas and Volumes class 10 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 10 Mathematics notes on Chapter 13 Surface Areas and Volumes are also available for download in CBSE Guide website.

CBSE Guide Surface Areas and Volumes class 10 Notes

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10 Mathematics notes Chapter 13 Surface Areas and Volumes

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

Surface Area of a Combination of Solids
Volume of a Combination of Solids
Conversion of Solid from One Shape to Another
Frustum of a Cone
Miscllaneous Questions

CUBOID

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

CUBE

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

CYLINDER

Curved surface area of cylinder of radius r and height $h = 2\pi rh$ square units.
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.
Volume of cylinder of radius r and height $h = \pi {r^2}h$ cubic units.

CONE

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

SPHERE

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

HEMISPHERE

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

FRUSTUM

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.
Total surface area of frustum $= \;\pi l(r + R) + \pi ({r^2} + {R^2})\;$ sq. units.
Volume of Frustum = $= \frac{1}{3}\pi h({r^2} + {R^2} + rR)$ cubic units.
$l = \sqrt {{h^2} + {{(R - r)}^2}}$ 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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