Question

a cuboid having areas of three adjacent faces a,b and c then find its volume​

Answer 1

Answer:

here

length × breadth = a.......i

breadth × height = b........ii

height × length = c.........iii

multiply all the equation

(length × breadth × height )² = abc

now, volume of cuboid = length × breadth × height

= √

√abc. unit³

Answer 2

let,

length = l

breadth= b

height =.h

A= l×h

B = b×h

C= l×b

volume = v

v=l×b×h

squaring on both side.

$v^2=l^2×b^2×h^3 \\ v^{2}=(l×b×h)(l×b×h)\\ v^2 =(l×h)(b×h)(l×b) \\ v^2=A×B×C\\ v^2=ABC \\ v=\sqrt{abc}$