The areas of 3 adjacent faces of a cuboid are 180 sq.cm , 96 sq. cm and 120 sq. cm . Find the volume of the cuboid ?
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Answered by
24
Heya!! Friend,
There is also other method of solving it in a simple way :)
L x B = 180 sq Cm ..........(1)
BxH = 96 Sq cm................(2)
LxH = 120 Sq cm..............(3)
(L x B) /(B x H) = 180/96
L /H =(180/96)
L = (180/96) x H
Now putting value of L in equ (3) LxH = 120
Therfore (180/96) x H x H = 120
H2 = (120 x96) / 180 = 64
H = 8 cm, L = (180/96) x8 = 15cm, B =96/8 = 12 Cm
Volume = L x B x H = 15 x 12 x 8 = 1440 cm2
There is also other method of solving it in a simple way :)
L x B = 180 sq Cm ..........(1)
BxH = 96 Sq cm................(2)
LxH = 120 Sq cm..............(3)
(L x B) /(B x H) = 180/96
L /H =(180/96)
L = (180/96) x H
Now putting value of L in equ (3) LxH = 120
Therfore (180/96) x H x H = 120
H2 = (120 x96) / 180 = 64
H = 8 cm, L = (180/96) x8 = 15cm, B =96/8 = 12 Cm
Volume = L x B x H = 15 x 12 x 8 = 1440 cm2
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2
Step-by-step explanation:
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