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  1. Solution. Let the edge of the cube be a cm. Lateral surface area of cube = 256 cm 2 (Given) ⇒ 4 a 2 = 256. ⇒ a 2 = 64. ⇒ a = 8 cm. ∴ Volume of the cube = a 3 = (8 cm) 3 = 512 cm 3. Thus, the volume of the cube is 512 cm 3. The lateral surface area of a cube is 256 cm 2.

  2. We know that a cube is a solid bounded by six square faces. the total surface area of a cube is the sum of areas of all square faces.The lateral area means the surface area of the cube without the area of the top and bottom square faces.The unit used to measure the lateral area of a cube is square units. So the lateral area of a cube = 4(area ...

  3. Question 7. The lateral surface area of a cube is 256 m2. The volume of the cube is: A) 512 m3. B) 64 m3. C) 216 m3. D) 256 m3 . View Solution.

  4. Dec 10, 2019 · Find the volume, the lateral surface area, the total surface area and the diagonal of a cube, each of whose edges measures 9 m. (Take `sqrt3 = 1.73`) asked Dec 10, 2019 in Mathematics by JaspreetMehta ( 25.1k points)

  5. Each face of a cube has perimeter equal to 32 cm. Find its surface area Q. If the perimeter of base of a cube is 14 c m and its height is 3.5 c m , then its lateral surface area is

  6. Step 1: Find the edge of the cube. The lateral surface area of cube = 256 m 2. Let us consider a as the edge of the cube. The lateral surface area of a cube = 4 a 2. ⇒ 256 = 4 a 2 ⇒ a 2 = 256 / 4 ⇒ a 2 = 64 ⇒ a = 8 m. Step 2: Find the volume of the cube. The volume of the cube = a 3 = 8 3 = 512 m 3. Hence, The volume of the cube is 512 m 3.

  7. Dec 24, 2016 · Volume and Total surface area. Formula to be used :-lateral surface area of the cube = 4a². Volume of the cube = a³. Total surface area of the cube = 6a². Solution :-Let each side of the cube be a cm. the lateral surface area of the cube = 4a². 4a2 = 576 . ⇒ a2 = 576/4 cm² = 144 cm². ⇒ a = 12 cm Volume of the cube = a³ = (12 cm)³ ...

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