Answer:
![√(59)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jja4c2l9zwqoqzjatoies542cs40ue7xga.png)
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 =
![\sqrt{(Length)^(2) +(Width)^(2)+(Height) ^(2) }](https://img.qammunity.org/2019/formulas/mathematics/middle-school/veqjsf1wf86sqfyad2x2mowyr6kbrla68v.png)
So, Length of diagonal of cuboid :
=
![\sqrt{3^(2) +5^(2)+5^(2) }](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fh9i6nb0icz2c1xtu3xui1nuaq9sdqaszi.png)
=
![√(9 +25+25 )](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jbugg5hud5gc6e68f6k2ishw73x1hongcq.png)
=
![√(59)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jja4c2l9zwqoqzjatoies542cs40ue7xga.png)
Thus , Length of diagonal of cuboid is
.
Hence , The diagonal of the rectangular solid is
.