IF THE AREA OF THREE ADJACENT FACES ARE 108,72 and 96 cm square find the volume of cuboid and its dimensions
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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
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
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1
Hope this helps!! Make sure to write all the formulas correct while attempting this problem yourself .
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