Theory:

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
cube.png
\(6a^2\)
\(4a^2\) 
\(a\) - side 
Cuboid
cuboid.png
\(2(lb + bh +lh)\)
\(2h(l + b)\)
\(l\) - length
 
\(b\) - breadth
 
\(h\) - height 
Cone
cone.png
\(\pi r (l + r)\)
\(\pi r l\) 
\(r\) - radius
 
\(l\) - slant height
 
\(l = \sqrt{r^2 + h^2}\)
 
\(h\) - height 
Cylinder
cylinder.png
\(2 \pi r (h + r)\)
\(2 \pi r h\) 
\(r\) - radius
 
\(h\) - height 
Sphere
sphere.png
\(4 \pi r^2\)
\(4 \pi r^2\)
\(r\) - radius
Hemisphere
hemisphere.png
\(3 \pi r^2\)
\(2 \pi r^2\)
\(r\) - radius