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If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?

A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.

If the cube shown is 4 inches on all sides what is the length of the diagonal x of the cube A 3 square root 2 inches B 3 square root 3 inches C 3 square root 4 class=

Respuesta :

The answer of your question is c
leulo956

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3

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