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Solution: We have the system of equations based on the given conditions:
Thus, the ratio of the surface area to the volume is:
The ratio of the volume of the sphere to the volume of the tetrahedron is:
The ratio of the surface area of the sphere to the surface area of the cube is:
A glaciologist is using remote sensing to monitor the changes in glacier rectangular sections in Greenland. If each section covers an area of 500 square kilometers, what is the smallest number of identical rectangular sections needed to cover a glacier of 20,000 square kilometers exactly?
To find the smallest number of identical rectangular sections needed to cover a total area of 20,000 square kilometers, where each section covers 500 square kilometers, we need to divide the total area by the area of one section.
A linguist is studying language evolution trends and notes that certain linguistic patterns repeat with periodicity. If the greatest common factor of the periodicity of two patterns is 12 years, and one pattern repeats every 36 years, what could be the possible period of the other pattern?
The number 36 can be expressed in terms of its prime factors: