Surface Area and Volume Formulas

Cube

Surface Area

6 × side2

Volume

side3

Rectangular Prism

Surface Area

2(length × width + length × height + width × height)

Volume

length × width × height

Cylinder

Surface Area

2π × radius(radius + height)

Volume

π × radius2 × height

Sphere

Surface Area

4π × radius2

Volume

(4/3)π × radius3

Cone

Surface Area

π × radius(radius + slant height)

Volume

(1/3)π × radius2 × height

Pyramid

Surface Area

Sum of areas of all faces

Volume

(1/3) × base area × height

Triangular Prism

Surface Area

Sum of areas of all faces

Volume

(1/2) × base × height × length

Cuboid

Surface Area

2(length × width + length × height + width × height)

Volume

length × width × height

Cone Frustum (or Truncated Cone)

Surface Area

π(radius1 + radius2)(slant height) + π(radius12 + radius22)

Volume

(1/3)π(height)(radius12 + radius22 + radius1 × radius2)

Hemisphere

Curved Surface Area

2π × radius2

Total Surface Area

3π × radius2

Volume

(2/3)π × radius3

Various Surface Area Formulas are:

Practice Problem on Surface Area and Volume Formulas

Surface area and volume are fundamental concepts in geometry that help us understand the amount of space occupied by three-dimensional objects and the total area of their surfaces. Surface area refers to the total area of all the faces or surfaces of a solid object. At the same time, volume represents the total amount of space enclosed within the boundaries of the object.

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