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Question
The area of three adjacent faces of cuboid are 108 cm2 , 72cm2 and 96cm2 respectively. Find the volume of cuboid also find the dimension of cuboid
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Solution
Given ,
lb = 108 cm2
bh = 72 cm2
hl = 96cm2
Multiplying above three equations,
l×b×b×h×h×l = 108×72×96
(lbh)^2 = 746496
lbh = √746496
Volume, lbh = 864 cm^3
lbh = 864
lb = 108
Dividing,
h = 864/108 = 8 cm
lbh = 864
bh = 72
Dividing,
l = 864/72 = 12 cm
lbh = 864
12×b×8 = 864
b = 864/96 = 9 cm
lb = 108 cm2
bh = 72 cm2
hl = 96cm2
Multiplying above three equations,
l×b×b×h×h×l = 108×72×96
(lbh)^2 = 746496
lbh = √746496
Volume, lbh = 864 cm^3
lbh = 864
lb = 108
Dividing,
h = 864/108 = 8 cm
lbh = 864
bh = 72
Dividing,
l = 864/72 = 12 cm
lbh = 864
12×b×8 = 864
b = 864/96 = 9 cm
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