Math, asked by aniket7564, 1 year ago

a cuboid having surface areas of three adjacent faces as X Y and Z has a volume

Answers

Answered by Anonymous
1

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 of the cuboid=v=lbh



Answered by Anonymous
1

Step-by-step explanation:

- Let the sides of the cuboid be a, b and c.

Given x, y and z are areas of three adjacent faces of the cuboid

Hence x=ab,  y=bc, z=ca

(x)(y)(z) = (ab)(bc)(ca)

xyz= (abc)2

abc = √xyz

Thus the volume of cuboid, V= abc = √xyz

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