Cuboid and Cube
1. Volume of a Cuboid: V = l × b × h
2. Surface Area of a Cuboid: SA = 2(lb + bh + hl)
3. Volume of a Cube: V = s^3 (where s is the side of the cube)
4. Surface Area of a Cube: SA = 6s^2
Cylinder
1. Volume of a Cylinder: V = πr^2h (where r is the radius and h is the height)
2. Curved Surface Area of a Cylinder: CSA = 2πrh
3. Total Surface Area of a Cylinder: TSA = 2πr(r + h)
Cone
1. Volume of a Cone: V = (1/3)πr^2h (where r is the radius and h is the height)
2. Curved Surface Area of a Cone: CSA = πrl (where l is the slant height)
3. Total Surface Area of a Cone: TSA = πr(l + r)
Sphere
1. Volume of a Sphere: V = (4/3)πr^3 (where r is the radius)
2. Surface Area of a Sphere: SA = 4πr^2
Hemisphere
1. Volume of a Hemisphere: V = (2/3)πr^3 (where r is the radius)
2. Curved Surface Area of a Hemisphere: CSA = 2πr^2
3. Total Surface Area of a Hemisphere: TSA = 3πr^2
These formulas are essential for solving mensuration problems in Class 10 Math. Practice using them to become proficient!