# 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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by sachin0210

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by sachin0210

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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