If the areas of three adjacent faces of a cuboid are x, y, z respectively, then the volume of the cuboid is :
A. $$xyz$$
B. $$2xyz$$
C. $$\sqrt {xyz} $$
D. $$3\sqrt {xyz} $$
Answer: Option C
Solution(By Examveda Team)
Let, length = l, breadth = b, height = hThen,
x = lb, y = bh, z = lh
Let, V be the volume of the cuboid
Then, V = lbh
$$\eqalign{ & \therefore xyz = lb \times bh \times lh \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = {\left( {lbh} \right)^2} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = {V^2} \cr & \,\,\,\,\,\,\,\,\,\,\,or\,V = \sqrt {xyz} \cr} $$
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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