The length of the straw will be 5.91607 inches long in radical form.
What is Length of diagonal in cuboid?
If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula
[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]
As per the question the length of the straw is equal to length of the diagonal of Rectangular box.
l= 3 inch , b= 5 inch , h= 1 inch
Let us consider the length of the straw be 'x'.
As, Diagonal of Cuboid is,
[tex]X^{2}= l^{2}+b^{2}+h^{2}[/tex]
[tex]X^{2}= 3^{2}+5^{2}+1^{2}\\X^{2}= 9+25+1\\X^{2}= 35\\X= \sqrt{35}[/tex]
X= 5.91607 (in radical form)
Hence, the length of the straw will be 5.91607 inches.
Learn more about length of Diagonal here:
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