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