Question

the diognal of cube is root 2 cm . what is its edge?​

Answer 1

Answer:

i think it is 6 cm

Step-by-step explanation:

Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

Diagonal of cube = √2 cm

We know that , the diagonal of cube is given by

$\large \mathtt{ \fbox{Diagonal \: of \: cube = \sqrt{3} \times length \: of \: edge }}$

Substitute the known values , we get

$\sf \mapsto \sqrt{2} = \sqrt{3} × Length \: of \: edge \\ \\ \sf \mapsto</p><p>1.414 = 1.732 × Length \: of \: edge \\ \\ \sf \mapsto</p><p>Length \: of \: edge = 1.414/1.732 \\ \\ \sf \mapsto </p><p>Length \: of \: edge = 0.8 \: \: cm$

Hence , the length of edge of cube is 0.8 cm (approx)

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