LENGTHS of the EDGES of a cube = 12 × length of one edge of a cube⇒ 12 × length of one edge of a cube = 1/2 × 4a = 2a⇒ length of one edge of a cube = 2a/12 = a/6Given, volume of the cube = one-sixth of the AREA of the square⇒ (a/6)3 = 1/6 × a2⇒ a3/216 = a2/6⇒ a = 36 units∴ The length of one side of the square is 36 units

"> LENGTHS of the EDGES of a cube = 12 × length of one edge of a cube⇒ 12 × length of one edge of a cube = 1/2 × 4a = 2a⇒ length of one edge of a cube = 2a/12 = a/6Given, volume of the cube = one-sixth of the AREA of the square⇒ (a/6)3 = 1/6 × a2⇒ a3/216 = a2/6⇒ a = 36 units∴ The length of one side of the square is 36 units

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The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume of the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is:

General Knowledge General Awareness in General Knowledge 9 months ago

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Let ‘a’ units be the side of the square.So, perimeter of the square = 4aSum of the LENGTHS of the EDGES of a cube = 12 × length of one edge of a cube⇒ 12 × length of one edge of a cube = 1/2 × 4a = 2a⇒ length of one edge of a cube = 2a/12 = a/6Given, volume of the cube = one-sixth of the AREA of the square⇒ (a/6)3 = 1/6 × a2⇒ a3/216 = a2/6⇒ a = 36 units∴ The length of one side of the square is 36 units

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Posted on 23 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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