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In earlier classes, we have learnt how to find the surface area of the basic solids such as cube, cuboid, cone, cylinder, sphere and hemisphere.
Let us recall the formulas to find the surface area of the solids mentioned above.
Solid | Figure | Total Surface Area (TSA) (in square units) | Curved Surface Area (CSA) or Lateral Surface Area (LSA) (in square units) | Formula description |
Cube | \(6a^2\) | \(4a^2\) | \(a\) - side | |
Cuboid | \(2(lb + bh +lh)\) | \(2h(l + b)\) | \(l\) - length \(b\) - breadth \(h\) - height | |
Cone | \(\pi r (l + r)\) | \(\pi r l\) | \(r\) - radius \(l\) - slant height \(l = \sqrt{r^2 + h^2}\) \(h\) - height | |
Cylinder | \(2 \pi r (h + r)\) | \(2 \pi r h\) | \(r\) - radius \(h\) - height | |
Sphere | \(4 \pi r^2\) | \(4 \pi r^2\) | \(r\) - radius | |
Hemisphere | \(3 \pi r^2\) | \(2 \pi r^2\) | \(r\) - radius |