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The areas of three adjacent faces of cuboid are 15cm², 20cm² and 12cm². Find volume ofthe cuboid |
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Answer» Answer: The area of three adjacent FACES of a cuboid are 15cm^2, 12cm^2, and 20cm^2. What is the volume of the cuboid? Learn ADVANCE analytics with Imarticus learning. The area of three adjacent faces of a cuboid are 15 sq cm, 12 sq cm and 20 sq cm. What is the volume of the cuboid? The sides of the cuboid are 3 cm x 5 cm, 3 cm x 4 cm and 4 cm x 5 cm. Now there are pairs of 3 cm, 4 cm and 5 cm, which are the DIMENSIONS of the cuboid. Hence the volume of the cuboid is 3*4*5 = 60 cc. Let the dimensions of the cubiod be length = l cm breadth= b cm height = h cm Given lb =15sq cm --(1) BH = 20 sq cm --(2) lh = 12 sq cm ---(3) MULTIPLY (1) ,(2 ) and (3) lb*bh*lh = 15*20 *12 (lbh)²=3600 ∴ lbh = √3600 volume of the cubiod = 60 cu cm(60cm^3) |
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