IF THE AREA OF THREE ADJACENT FACES ARE 108,72 and 96 cm square find the volume of cuboid and its dimensions

2
by sachin0210

2015-03-22T01:18:47+05:30

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Let dimensions of the cuboid be :  a cm, b cm, c cm

Areas of three adjacent faces are :  ab, bc, and ca, as they are rectangles with dimensions a, b, and c taken two at a time.

ab = 108 cm²        --- (1)
bc = 72 cm²         -- (2)
ca = 96 cm²      -- (3)

Multiply first two and divide by the third one:
ab * bc / ca = 108 * 72/ 96
b² = 9²      => b = 9 cm
From  (1),  a = 12 cm          and      from  (2)  c = 8 cm

volume = abc = 864 cm³

2015-03-22T10:08:32+05:30
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