The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?
Correct answer: C. 1:8
- A. 1:2
- B. 1:4
- C. 1:8
- D. 2:1
Explanation
Cube volume is proportional to the cube of its side. Thus sides in the ratio 1:2 produce volumes in the ratio 1^3:2^3 = 1:8. The likely mistake is 1:2, which uses the side ratio directly instead of cubing it.
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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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