If the total length of diagonals of a cube is 12 cm, then what is the total length of the edges of the cube ?
A. 6$$\sqrt 3 $$ cm
B. 12 cm
C. 15 cm
D. 12$$\sqrt 3 $$ cm
Answer: Option D
Solution(By Examveda Team)
Since a cube has 4 diagonals, we have :Length of a diagonal
$$\eqalign{ & = \left( {\frac{{12}}{4}} \right)cm \cr & = 3\,cm \cr} $$
Let the length of each edge of the cube be a cm
Then,
$$\eqalign{ & \sqrt 3 a = 3 \cr & or,a = \sqrt 3 \cr} $$
∴ Total length of the edges of the cube = $$12\sqrt 3\, $$ cm
Related Questions on Volume and Surface Area
A. 12$$\pi$$ cm3
B. 15$$\pi$$ cm3
C. 16$$\pi$$ cm3
D. 20$$\pi$$ cm3
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m
A. 84 meters
B. 90 meters
C. 168 meters
D. 336 meters
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