# Volume of solids, cuboid, cube, cylinder, cone, sphere, frustum of a cone,

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__VOLUME OF SOLIDS__

**CUBOID - It has 6 panels and each panel is rectangular.**

**let length =**

*l*cm, width = b cm, height = h cm,

**(i) Cuboid volume = (**

*l*✕ b ✕ h ) Cubic Centimeter**(iii) Area of the entire surface of the cuboid = 2 (**

*l*b + bh +*l*h) square centimeter

**CUBE - It has 6 panels and each panel is square.**

**let side of the cube = a cm**

**(i) Cube volume = a ✕ a ✕ a Cubic Centimeter**

**(ii) Diagonal of cuboid = √3a cm**

**(iii) Area of the entire surface of the cuboid = 6 (a✕a) square centimeter**

**CYLINDER - Let the radius of the base of the cylinder = r cm**

**and height of the cylinder = h cm**

**(i) Volume of the cylinder = ( π r✕r h) Cubic Centimeter**

**(ii) Area of curved surface of cylinder = 2πrh square centimeter**

**(iii) Area of the entire surface of the cylinder = ( 2πrh + 2πr✕r ) square centimeter**

**CONE - Let the radius of the base of the cone = r cm, height = h cm, and Oblique height =**

*l*cm**(iii) Area of curved surface of cone = πr**

*l*square centimeter**(iv) Area of the entire surface of the cone = ( πr**

*l*+ πr✕r ) square centimeter

**SPHERE - Let radius of the sphere = r cm**

**(ii) Area of curved surface of sphere = (4πr✕r) square centimeter**

**(iv) Area of curved surface of half-sphere = (3πr✕r) square centimeter**

**FRUSTUM OF A CONE - Let the radius of base and vertex of Frustum of a cone R cm and r cm respectively. and height = h cm and Oblique height =**

*l cm*

**(iv) Area of the entire surface of the cone = ( base area ) + ( area of vertex ) + ( Curve surface area)**

**centimeter**

**square**

**={πR✕R+πr✕r+π**

*l*(R+r)}**centimeter**

**square**

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