The diagram shows a 5 cm x 5 cm x 5 cm cube. A
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
5 cm
L
5 cm
B В
5 cm

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths is

So the solution here is

26

step-by-step explanation: