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Maths Formulas Class 10 Ch-12 | Surface Area & Volume
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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.
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(Deleted) |
\[\pi l\left ( r_{1}+r_{2} \right )\] |
\[\pi l\left ( r_{1}+r_{2} \right )+\pi
r_{1}^{2}+\pi r_{2}^{2}\] |
\[\frac{1}{3}\pi h\left [
r_{1}^{2}+r_{2}^{2}+r_{1}r_{2} \right ]\] |
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