What is the formula for calculating the length of the diagonal of a right rectangular prism?

Solution:

The diagonal of a right rectangular prism is the line that connects opposite vertices of a prism.

Look at the figure of a right rectangular prism shown below.

The formula for the length of the diagonal of a right rectangular prism is: d = √(l²+w²+h²)

Here, d = length of the diagonal, l = length of the rectangular base of the prism, w = width of the rectangular base of the prism, and h = height of the prism.

Let us find the diagonal of a right rectangular prism with a length of 20 units, the width of 10 units, and the height of 5 units.

The formula for the length of the diagonal of a right rectangular prism = √(l² + w² + h²)  units.

Substitute the value in the formula,

= √(20² + 10² + 5²) units

= 22.91 units

So, the formula for the length of the diagonal of a right rectangular prism is √(l²+w²+h²), where l is the length, b is the breadth and h is the height of a right rectangular prism.

What is the formula for calculating the length of the diagonal of a right rectangular prism?

Summary:

The formula for calculating the length of the diagonal of a right rectangular prism is √(l² + w² + h²). where l is the length, w is the width and h is the height.