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What is the volume of a cube (in cubic cm) whose diagonal measures 4√3 cm ?

Correct answer: D. 64

  • A. 8
  • B. 16
  • C. 27
  • D. 64

Explanation

A cube's space diagonal is a√3, where a is its edge. Thus a√3 cm = 4√3 cm gives a = 4 cm, and its volume is a3 = 4 cm x 4 cm x 4 cm = 64 cm3. The likely mistake is option b, 16 cm3, from treating the diagonal as the edge length.

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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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