What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth.

The length of the diagonal, d, of the rectangular prism is 9.64 units.
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} = d[/tex]
Substituting the value in formula
[tex]\sqrt{5^2 + 8^2 + 2^2} = d[/tex]
[tex]d =\sqrt{25 + 64 + 4}[/tex]
[tex]d =\sqrt{93}[/tex]
or, d = 9.64 units
Hence,the length of the diagonal, d of the rectangular prism is 9.64 units .
To know more about rectangular prism and its diagonal here:
brainly.com/question/12517010
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