# Rectangular Prism/Cuboid Tutorial

## Rectangular Prism/Cuboid Tutorial

##### Rectangular Prism/Cuboid Definition:

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.

#### Rectangular Prism/Cuboid Formula :

Area of Base(A) = l * w Perimeter of Base(P) = 2l + 2w Surface Area of Prism = 2(lw) + (2l + 2w)h = 2A + Ph Volume of Prism = lwh = Ah Diagonal of Prism = Sqrt(l² + w² + h²)
###### where
l = length, w = width, h = height
##### Rectangular Prism/Cuboid Image/Diagram ##### Case 1:

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

###### Step 1:

Find the area of the base.

Area of the base(A) = l * w = 2 * 3 = 6.

###### Step 2:

Find the perimeter of the base.

Perimeter of the base(P) = 2l + 2w = (2 * 2) + (2 * 3) = 4 + 6 = 10.

###### Step 3:

Find the surface area of prism.

Surface Area of Prism = 2A + Ph = (2 * 6) + (10 * 4) = 12 + 40 = 52.

###### Step 4:

Find the volume of prism.

Volume of Prism = Ah = 6 * 4 = 24.

###### Step 5:

Find the diagonal of prism.

Diagonal of Prism = Sqrt(l² + w² + h²) = Sqrt(2² + 3² + 4²) = Sqrt(4 + 9 + 16) = Sqrt(29) = 5.39.

The above example will clearly illustrates how to calculate the Volume, Surface Area, Diagonal Perimeter of a Rectangular Prism/Cuboid manually.

#### Related Calculator:

This tutorial will help you dynamically to find the Math area problems.