Question

The areas of 3 adjacent faces of a cuboid are 120cm sq.,60cm sq. And32cm sq. Find volume and dimensions

Answer 1

Answer:

now l=length b=breadth and h=height

lb=120-------1

 bh=60 -------2

and hl=32------3

from equation 1 b=120/l

put the value in equation 2

bh=60

h=60/b

h=60(l)/120

h=l/2----put this value in equation 3

hl=32

l(l)/2=32

lsq=64

l=8 cm

we know h=l/2=4 cm

and b=120/l=15 cm

volume =lbh=8(4)(15)

   480 cm cube

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