If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?
Correct answer: C. 2 : 1
- A. 8: 1
- B. 2√2 : 1
- C. 2 : 1
- D. None of these
Explanation
The volume of a cube is proportional to the cube of its edge. If the volume ratio is 8:1, the edge ratio is cube root of 8 : cube root of 1 = 2:1. The likely mistake is 8:1, which uses the volume ratio directly as the edge ratio.
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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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