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?
D)Square root of 5?

Answer 1

The answer is B

Explanation:

Answer 2

option B. square root of 3

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 =
`√(1+1)=√(2)` cm

Now we have to calculate the length of diagonal AC.

AC =
`\sqrt{AB^(2)+BC^(2)}`

AC =
`√(1+2)=√(3)`

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