Math, asked by anurag123456711, 7 months ago

The area of three adjacent faces of a cuboid are x,y,and z.if the volume is v,prove that v =xyz​

Answers

Answered by hodeee4
2

Answer:

let the dimensions of cuboid are

Length=l

breadth=b

height =h

given area of three faces x,y and z

lb= x--(1)

bh=y---(2)

lh= z---(3)

multiply (1),(2) and (3)

lb×bh×lh= xyz

l^2×b^2×h^2=xyz

(lbh)^2= xyz

v^2= xyz

since volume

Step-by-step explanation:

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