Question

The area of the adjacent faces of a cuboid are x,y,z are square units respectively. if the volume of the cuboid V cubic units, then the correct relation between V,x,y,z is.

Answer 1

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 of the cuboid=v=lbh

Hope it helps you.