If A1, A2 and A3 denote the areas of three adjacent faces of a cuboid, then its volume is
A. A₁A₂A₃
B. 2 A₁A₂A₃
C. √A₁A₂A₃
D.3√A₁A₂A₃
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Answer:
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To find the volume of cuboid -
Consider the length of cuboid as l, the breadth as b and height as h.
-The area of one of the adjacent faces = l × b = A1
the area of other adjacent face = b × h = A2
-The area of third adjacent face = l × h = A3
A1 × A2 × A3 = l² × b² × h²
√A1×A2×A3 = l×b×h = Area of cuboid
therefore, correct answer is 'C' - '√A1×A2×A3'
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