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?
D)Square root of 5?

Respuesta :

Answer:

The answer is B

Step-by-step explanation:

Answer:

option B. square root of 3

Step-by-step explanation:

In the figure attached the length of one side of the cube is 1 cm.

In the triangle ABC, Side AB = 1 cm

Since side BC is the diagonal of 1 base of the given cube.

Therefore, mBC = [tex]\sqrt{1+1}=\sqrt{2}[/tex] cm

Now we have to calculate the length of diagonal AC.

AC = [tex]\sqrt{AB^{2}+BC^{2}}[/tex]

AC = [tex]\sqrt{1+2}=\sqrt{3}[/tex]

Therefore, option B. square root of 3 will the length of diagonal of the cube.

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