A Rectangular Prism/Cuboid is a solid figure bounded by six rectangular faces, a rectangular box. All angles are right angles, and opposite faces of a cuboid are equal. It is also a right rectangular prism.

Formula Math Rectangular Prism or Cuboid :

Area of Base [ A ] = l . w

Perimeter of Base (P) = 2l + 2w

Surface Area of Prism = 2[l.w] + [2l + 2.w] h

= 2A + Ph

Volume of Prism = l.w.h = Ah

Diagonal of Prism = Sqrt [l² + w² + h²]

Note :

w = width, h = height , l = length

Formula Math Rectangular Prism or Cuboid :

Area of Base [ A ] = l . w

Perimeter of Base (P) = 2l + 2w

Surface Area of Prism = 2[l.w] + [2l + 2.w] h

= 2A + Ph

Volume of Prism = l.w.h = Ah

Diagonal of Prism = Sqrt [l² + w² + h²]

Note :

w = width, h = height , l = length

### Example

Question : Find the surface area, volume and diagonal of a rectangular prism or Cuboid with the given length 2, width 3, height 4.

Answer : Find the area of the base.

Solution : Area of the base[A] = l . w = 2 . 3 = 6

Answer : Find the perimeter of the base.

Solution : Perimeter of the base [P] = 2l + 2w = [2 . 2] + [2 . 3] = 4 + 6 = 10

Answer : Find the surface area of prism.

Solution : Surface Area of Prism = 2.A + P.h = [2 . 6] + [10 . 4] = 12 + 40 = 52

Answer : Find the volume of prism.

Solution : Volume of Prism = A.h = 6 . 4 = 24

Answer: Find the diagonal of prism.

Solution : Diagonal of Prism = Sqrt [l² + w² + h²] = Sqrt [2² + 3² + 4²] = Sqrt [4 + 9 + 16] = Sqrt [29] = 5.39

That is example will clearly how to calculate the Formula Math Volume, Surface Area, Diagonal Perimeter of a Rectangular Prism or Cuboid.