Respuesta :

Answer:

2√21

Step-by-step explanation:

Diagonal =√(L²+W²+H²)

Diagonal =√(8²+4²+2²)=√(64+16+4)=√84=2√21

The diagonal of the rectangular solid will be 2√21. The diagonal is denoted by d.

What exactly is a rectangle?

It has four sides and is a polygon. The internal angle total is 360 degrees.

The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal and meet at the midpoint.

Given data;

L(Length)=8

W(Width)=4

H(Height)=2

The diagonal (d) of the rectangular solid is found by the formula:

[tex]\rm Diagonal =\sqrt{(L^2+W^2+H^2)}\\\\ (d) =\sqrt {(8^2+4^2+2^2)}\\\\ d= \sqrt{(64+16+4)} \\\\ d=\sqrt84\\\\ d=2\sqrt21[/tex]

Hence, the diagonal (d) of the rectangular solid will be 2√21.

To learn more about the rectangle,  refer to the link https://brainly.com/question/13747846

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