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+1 vote
4.9k views
in Mathematics by (30.0k points)

The length of the diagonals of a cube is 8√3 cm. Find its:

(i) edge 

(ii) total surface area 

(iii) Volume

1 Answer

+2 votes
by (55.2k points)
selected by
 
Best answer

(i) Length of diagonal of a cube = 8√3 cm

Length of edge = 8√3/√3 = 8 cm

(ii) Total surface area = 6a2 = 6 x 82 = 6 x 64 cm2 = 384 cm2 

(iii) Volume = a3 = (8)3= 512 cm3 

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