Question

The length of the diagonal if each edge measures 4 cm is.

2 points

4√3

6√3

5√3

None of these

​

Answer 1

Given : A cuboid box each edge measures 4 cm

To Find : Length of diagonal

4√3

6√3

5√3

None of these

Solution:

Length of largest diagonal of a cuboid box is given by

= √L² + B² + H²

L = Length

B = Breadth

H = Height

each edge measures 4 cm

=> L = B = H  = 4 cm

Length of largest diagonal = √4² + 4² +4²

=  √4²(1² + 1²  + 1²)

= 4√3

length of the diagonal if each edge measures 4 cm  = 4√3  cm

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