Surface Areas and Volumes of Solid Figures
Solid figures are three-dimensional figures that include cube, cuboid, cylinder, cone, sphere and hemisphere.
1. Cube
Side: a
Lateral Surface Area = 4a2
Total Surface Area = 6a2
Volume = a3
2. Cuboid
Length (l), Breadth (b), Height (h)
Lateral Surface Area = 2h(l + b)
Total Surface Area = 2(lb + Bh + lh)
Volume = lbh
3. Cylinder
Radius (r), Height (h)
Lateral Surface Area = 2πrh
Total Surface Area = 2πr(r + h)
Volume = πr2h
4. Cone
Radius (r), Height (h), Slant Height (l)
Lateral Surface Area = πrl
Total Surface Area = πr(l + r)
Volume = 1/3 x πr2h
5. Sphere
Radius: r
Lateral Surface Area = 4πr2
Volume = 4/3 x πr2
6. Hemisphere
Radius: r
Lateral Surface Area = 2πr2
Total Surface Area = 3πr2
Volume = 2/3 x πr2