Question

What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm

Answer 1

To find the length of the diagonal of a cube, you can use the formula:

\[
d = a \sqrt{3}
\]

where \( d \) is the diagonal length and \( a \) is the side length of the cube.

For a cube with a side length of \( a = 1 \) cm, the diagonal length is:

\[
d = 1 \cdot \sqrt{3} = \sqrt{3} \text{ cm}
\]

Thus, the length of the diagonal of a cube with a side length of 1 cm is:

\[
\sqrt{3} \text{ cm}
\]

The correct answer is **\(\sqrt{3} \text{ cm}\)**.