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If the length of the longest diagonal of a cubical box is (300 \sqrt{\mathstrut 300}(300​​ cm, find its volume.
Question

If the length of the longest diagonal of a cubical box is (300 \sqrt{\mathstrut 300}​ cm, find its volume.

A.

10000 cm³

B.

400 cm³

C.

100 cm³

D.

1000 cm³

Correct option is D

​Diagonal = Side 3 \sqrt {3} 

Side = 3003=10\frac{\sqrt{300}}{\sqrt{3}} = 10

Volume of Cube = Side3=103=1000cm3Side^3 = 10^3 = 1000 cm^3 ​​

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