The length of the diagonal, d, of the rectangular prism is 9.6 .
What is rectangular prism?
A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
What is the length of diagonal of rectangular prism ?
The formula for the length of the diagonal of a right rectangular prism is :
[tex]\sqrt{l^{2} +b^{2} +h^{2} }[/tex]
where l is the length, b is the breadth and h is the height of a right rectangular prism.
According to the question
Length of rectangular prism = 5
Breath of rectangular prism = 8
Height of rectangular prism = 2
Now,
The diagonal of rectangular prism = d
By using the formula of the length of the diagonal of a rectangular prism is :
[tex]\sqrt{l^{2} +b^{2} +h^{2} }[/tex]
Substituting the value in formula
[tex]\sqrt{l^{2} +b^{2} +h^{2} }[/tex] = d
[tex]\sqrt{5^{2} +8^{2} +2^{2} }[/tex] = d
[tex]\sqrt{25 +64 +4 }[/tex] = d
[tex]\sqrt{93 }[/tex] = d
Therefore,
d = 9.6
Hence, the length of the diagonal, d, of the rectangular prism is 9.6 .
To know more about rectangular prism and its diagonal here:
https://brainly.com/question/12517010
#SPJ2
