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Maths Formulas Class 10 Ch-13 | Surface Area & Volume
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Maths Formulas Surface Area & Volume
Chapter 13 For Class IX & X
Surface Area and volume of Cube, Cuboid, Cylinder, Cone, Sphere, Hemi-Sphere, Frustum of Cone, Cylindrical Pipe, useful formulas for surface area and volume of solid figures
These are also be called solid shapes because all these figures are involve three dimensions.
Further these are classified into different types. Main types are cube, cuboid, cylinder, cone, sphere, hemi-sphere and frustum of cone.
Here in this topic we discussed surface area and volume of these shapes.
Note:
- Students of IX standard learn all the formulas except Frustum of Cone.
- Frustum of cone is only for the students of X standard.
Surface area and volumes
Solid Figure |
Curved Surface Area |
Total Surface Area |
Volume |
CUBE |
\[4\times \left ( side \right )^{2}\] |
\[6\times \left ( side \right )^{2}\] |
\[\left
( side \right )^{3}\] |
CUBOID |
\[2\left ( l+b \right )\times h\] |
\[2\left ( lb+bh+hl \right )\] |
\[lbh\] |
CYLINDE |
\[2\pi rh\] |
\[2\pi rh+\pi r^{2}+\pi r^{2}\]\[=2\pi r\left (
r+h \right )\] |
\[\pi r^{2}h\] |
CONE |
\[\pi rl\] |
\[\pi r\left ( r+l \right )\] |
\[\frac{1}{3}\pi
r^{2}h\] |
SPHERE |
\[4\pi r^{2}\] |
\[4\pi r^{2}\] |
\[\frac{4}{3}\pi r^{3}\] |
HEMI - SPHERE |
\[2\pi r^{2}\] |
\[3\pi r^{2}\] |
\[\frac{2}{3}\pi r^{3}\] |
FRUSTUM OF CONE |
\[\pi l\left ( r_{1}+r_{2} \right )\] |
\[\pi l\left ( r_{1}+r_{2} \right )+\pi
r_{1}^{2}+\pi r_{2}^{2}\] |
\[\frac{1}{3}\pi h\left [
r_{1}^{2}+r_{2}^{2}+r_{1}r_{2} \right ]\] |
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