Question

A cuboid having surface area of 3 adjacent faces as a,b and c has the volume :-
a) 3√abc
b)√abc
c)abc
d) a cube b cube c cube/a3 b3 c3



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Answer 1

Answer:

b) √abc

Step-by-step explanation:

Let the length of cuboid be x breadth be y and and height be z

Now a = length × breadth = x × y

b = breadth × height = y × z

c = height × length = z × x

Now Multiplying the Left side of all the three equations with their right side we get

$a \times b \times c = (x \times y) \times (y \times z) \times (z \times x)$

On solving

$a \times b \times c = (x \times y \times z) ^{2}$

$\sqrt{(a \times b \times c} = x \times y \times z$

Now as we know the volume of cuboid is length times breadth times height which means

Volume = x y z

Volume = √abc

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