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The surface area of a cube is 726m2, its volume is?

Correct answer: B. 1331 m3

  • A. 1300 m3
  • B. 1331 m3
  • C. 1452 m3
  • D. 1542 m3

Explanation

For a cube, surface area is 6a^2, so 6a^2 = 726 m2 gives a^2 = 121 m2 and a = 11 m. Its volume is a^3 = 11^3 m3 = 1331 m3. The likely wrong choice is 1300 m3, which is only a rough approximation rather than the exact cube volume.

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About Area and Volume

Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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