What is the length of the interior diagonal, d, rounded to the nearest hundredth of a centimeter?

Question

The dimensions of a right rectangular prism are shown in the diagram.

What is the length of the interior diagonal, d, rounded to the nearest hundredth of a centimeter?

Answer 1

Hi,

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

Substituting the values from the figure, we get √(10² + 10² + 20^{2) =} √600 = 24.5cm

Answer 2

Determine length of diagonal across top of box (Pythagoras)

Use this to determine diagonal in question.