Find the diagonal of the rectangular solid with the given measures. (Part of the answer is provided for you.) l = 3, w = 5, h = 5 (The provided piece is _ _ _ 9)

Find the diagonal of the rectangular solid with the given measures Part of the answer is provided for you l 3 w 5 h 5 The provided piece is 9 class=

Respuesta :

the answer is the Square root 59

i just i got the answer right

Answer:

[tex]\sqrt{59}[/tex]

Step-by-step explanation:

Given : Length of cuboid = 3 units

            Width of cuboid = 5 units

            Height of cuboid = 5 units

To Find : Length of diagonal of cuboid

Solution :

Formula of length of cuboid = [tex]\sqrt{(Length)^{2} +(Width)^{2}+(Height) ^{2} }[/tex]

So, Length of diagonal of cuboid :

= [tex]\sqrt{3^{2} +5^{2}+5^{2} }[/tex]

= [tex]\sqrt{9 +25+25 }[/tex]

= [tex]\sqrt{59}[/tex]

Thus , Length of diagonal of cuboid is [tex]\sqrt{59}units[/tex].

Hence , The diagonal of the rectangular solid is  [tex]\sqrt{59}units[/tex].