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Quantity B: The volume of a cube is 1728 cm3. The total length of its edges is1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B |
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Answer» First we will find QUANTITY A, Quantity A: Let the SIDE of the cube be ‘a’. We know that, Perimeter of ONE face of a cube = 4a ⇒ 24 = 4a ⇒ a = 24/4 = 6 cm We know that, Volume of the cube = a3 = 63 = 216 cm3 ∴ Volume of the cube = 216 cm3 Now, Quantity B: Let the side of the cube be ‘a’. We know that , Volume of the cube = a3 ⇒ 1728 = a3 ⇒ a = 17281/3 = 12 We know that, A cube consists of 12 EDGES. ∴ The total length of the edges of the cube = 12 × 12 = 144 cm ∴ Quantity A > Quantity B |
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