The length of the diagonal, d, of the rectangular prism is 9.64 units.
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} = 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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