Question

if A,B,C denote the area of the three continuous faces of a rectangular solid cuboid and v it's volume .

↑↑.PROVE THAT.↑↑​

Answer 1

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.

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