The diagram shows 5cm×5cm×5cm cube calculate the length of the diagonal ab

Cube is  a three-dimensional shape where each of the six sides is a square .

Length of diagonal ab is 8.7 cm

Since, Each dimension of cube is 5 cm.

Length of diagonal AB is,

Length of diagonal AB =

 Length of diagonal AB = 8.7 cm

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AB = cm

Step-by-step explanation:

As we can see from the figure, BCDE is a square with each corner equal to 90°.

So that, BDE is a right triangle with corner BED equal to 90°

As BDE is a right triangle, according to Pythagoras theorem, we have:

         cm

As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE

=> AD is perpendicular to BD

=> ADB is the right triangle with corner ADB equal to 90°.

As ADB is the right triangle, ccording to Pythagoras theorem, we have:

cm

=> cm

Conclusion: AB = cm

345

step-by-step explanation: