Question

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

Answer 1

The diagonal of the given regular solid is
`2√(21)\ or\ 9.165`

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=√(l^2+w^2+h^2)`

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

`d=√(8^2+4^2+2^2)\\\\d=√(64+16+4)\\\\d=√(84)\\\\d=√(4* 21)\\\\d=2√(21)\ or\ 9.165`

Therefore, the diagonal of the given regular solid is
`2√(21)\ or\ 9.165`