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 ?
In one more method
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Heya!!
Let the three sides of the cuboid be a, b and c.
Then
a × b = 180 cm2 (1)
b × c = 96 cm2 (2)
c × a = 120 cm2 (3)
On multiplying equations (1), (2) and (3)
(a × b) × (b × c) × (c × a) = 180 × 96 × 120
a2 × b2 × c2 = 2073600
(a × b × c)2 = 2073600
a × b × c = 1440 cm3
Volume of the cuboid = 1440 cm3
Hope it helps
Let the three sides of the cuboid be a, b and c.
Then
a × b = 180 cm2 (1)
b × c = 96 cm2 (2)
c × a = 120 cm2 (3)
On multiplying equations (1), (2) and (3)
(a × b) × (b × c) × (c × a) = 180 × 96 × 120
a2 × b2 × c2 = 2073600
(a × b × c)2 = 2073600
a × b × c = 1440 cm3
Volume of the cuboid = 1440 cm3
Hope it helps
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