| 答案 |
| 送交者: 車五進二 2019月11月03日22:02:42 於 [靈機一動] 發送悄悄話 |
| 回 答: 趣味的數學-136 由 gugeren 於 2019-10-31 13:01:16 |
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Let the three sides be a, b, c, since it makes a geometric sequence, therefore b^2 = ac. Since V = abc = b^3 = 8, therefore b = 2 and ac = 4. Since the surface area is 2*(ab + bc +ca) = 32, therefore ab + bc + ca = 16, hence ab+bc=12, therefore a+c = 8. The sum of all sides is 4 * (a + b + c) = 4 * (2 + 8) = 40. |
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