The volume (in m3) of a cube, each of whose edges is 36 m, is:
2025
The volume (in m3) of a cube, each of whose edges is 36 m, is:
- A.
46483
- B.
46656
- C.
46472
- 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.
Edge length, a = 36 m.
Square the edge: a2 = 36 × 36 = 1,296.
Multiply by the edge once more: a3 = 1,296 × 36 = 46,656.
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.