Question

What is the length of a diagonal of a cube with a side length of 1 cm?
I know it is 1.73.
But what is the correct answer choice?
A)Square root of 2?
B)Square root of 3?
C)Square root of 4?
estimated the length of the diagonal of square with the following side 8 cm

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Answer 1

Square root of 2 is the correct answer.

Side =1 cm

diagonal = hypotenuse of a right triangle

h^2=p^2+b^2

=>h^2=1+1 ( as the square of one is one only)

=>h^2=2

=>h=√2

Answer 2

Answer:

A) √2 is correct.

Because diagonal of square =√2×a

=√2×1=√2

if side is 8cm then diagonal =8√2cm