Question

Find the diagonal(d) of the regular solid.​

Answer 1

Answer:

The diagonal of the given regular solid is $2\sqrt{21}\ or\ 9.165$

Step-by-step explanation:

Given:

The  given regular solid is a cuboid or a rectangular prism.

Length of the cuboid is, $l=8$

Width of the cuboid is, $w=4$

Height of the cuboid is, $h=2$

We know that, for a cuboid of length 'l', width 'w' and height 'h', the diagonal length 'd' is given as:

$d=\sqrt{l^2+w^2+h^2}$

Plug in 8 for 'l', 4 for 'w', 2 for 'h' and solve for 'd'. This gives,

$d=\sqrt{8^2+4^2+2^2}\\\\d=\sqrt{64+16+4}\\\\d=\sqrt{84}\\\\d=\sqrt{4\times 21}\\\\d=2\sqrt{21}\ or\ 9.165$

Therefore, the diagonal of the given regular solid is $2\sqrt{21}\ or\ 9.165$