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The areas of three adjacent faces of a cuboidal tank are 3 m2,12 m2 and 16 m2. The capacity of the tank, in litres, is:
Correct answer is '24000'. Can you explain this answer?

Answers

Given
Areas of 3 adjacent faces of cuboidal tank = 3 m2,12 m2,16 m2
As we know,
1 m3 = 1000 Litres
If areas of 3 adjacent faces of a cuboid are x,y and z respectively, then
Volume of cuboid =
Areas of 3 adjacent faces of cuboidal tank = 3 m2, 12 m2, 16 m2
Volume of cuboid =
Capacity of tank =
Capacity of tank = 24 m3
1 m3=1000 Litres
Capacity of tank = 24 × 1000 lites
Capacity of tank = 24000 litres
∴ The capacity of the tank, (in litres) is 24000 litres.
Hence, the correct answer is 24000.

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The areas of three adjacent faces of a cuboidal tank are 3 m2,12 m2 and 16 m2. The capacity of the tank, in litres, is:Correct answer is '24000'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The areas of three adjacent faces of a cuboidal tank are 3 m2,12 m2 and 16 m2. The capacity of the tank, in litres, is:Correct answer is '24000'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The areas of three adjacent faces of a cuboidal tank are 3 m2,12 m2 and 16 m2. The capacity of the tank, in litres, is:Correct answer is '24000'. Can you explain this answer?.
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GivenAreas of 3 adjacent faces of cuboidal tank = 3 m2,12 m2,16 m2As we know,1 m3 = 1000 LitresIf areas of 3 adjacent faces of a cuboid are x,y and z respectively, thenVolume of cuboid =Areas of 3 adjacent faces of cuboidal tank = 3 m2, 12 m2, 16 m2Volume of cuboid = Capacity of tank =Capacity of tank = 24 m31 m3=1000 LitresCapacity of tank = 24 × 1000 litesCapacity of tank = 24000 litres∴ The capacity of the tank, (in litres) is 24000 litres.Hence, the correct answer is 24000.