HURRY

What is the length of a diagonal of a cube with a side length of 3 cm?
StartRoot 18 EndRoot cm
StartRoot 27 EndRoot cm
StartRoot 33 EndRoot cm
StartRoot 38 EndRoot cm

Respuesta :

Answer:

B. (StartRoot 27 EndRoot cm)

Step-by-step explanation:

I took the test on Edge

For the given cube, the length of the diagonal is given by:

[tex]d = \sqrt{27} cm[/tex]

How to find the diagonal of the cube?

For a cube of side length S, the diagonal of the cube is given by the expression:

[tex]d = \sqrt{S^2 + S^2 + S^2} = \sqrt{3}*S[/tex]

In this case, the side length is equal to 3cm, replacing that we get:

[tex]d = \sqrt{3*S^2} = \sqrt{3*(3)^2} cm = \sqrt{27} cm[/tex]

The correct option is the second one, counting from the top.

If you want to learn more about cubes:

https://brainly.com/question/1972490

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