Mensuration of Solid Figures

Solid figures include cube, cuboid, cylinder, cone, sphere, and hemisphere.

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1. Cube

Lateral Surface Area: 4a2

Total Surface Area: 6a2

Volume: a3

2. Cuboid

Lateral Surface Area: 2h(l + b)

Total Surface Area: 2(lb + bh + lh)

Volume: lbh

3. Cylinder

Lateral Surface Area: 2πrh

Total Surface Area: 2πr(r + h)

Volume: πr2h

4. Cone

Lateral Surface Area: πrl

Total Surface Area: πr(l + r)

Volume: 1/3 × πr2h

5. Sphere

Lateral Surface Area: 4πr2

Volume: 4/3 × πr3

6. Hemisphere

Lateral Surface Area: 2πr2

Total Surface Area: 3πr2

Volume: 2/3 × πr3