The volume (in m3) of a cube, each of whose edges is 36 m, is:

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The volume (in m3) of a cube, each of whose edges is 36 m, is:

  1. A.

    46483

  2. B.

    46656

  3. C.

    46472

  4. D.

    46790

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Correct answer: B

The volume of a cube with edge length a is given by V = a3, obtained by cubing the edge, because a cube's length, breadth, and height are all equal to a.

  1. Edge length, a = 36 m.

  2. Square the edge: a2 = 36 × 36 = 1,296.

  3. Multiply by the edge once more: a3 = 1,296 × 36 = 46,656.

  4. So the volume V = 46,656 m3.

Independent check: since 36 = 62, the cube can also be found as 363 = 66 = (63)2 = 2162 = 46,656 — the same volume by a different route.

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