1.epress each of the following as a product of prime factors using the index notation.
A)162
(請列步驟,如有)
B)6125
(如上說)
2.at least how many cuboids of dimensions 5cm x 6cm x 8cm x should be used to form a cube?
可唔可以幫下手?數學題3題~~
2012-09-25 2:32 am
回答 (1)
2012-09-25 2:46 am
✔ 最佳答案
(1)(a)２｜１６２
３｜ ８１
３｜ ２７
３｜ ９
３
所以 162 = 2 x 3 x 3 x 3 x 3 = 2 x 3^4
(1)(b)
５｜６１２５
５｜１２２５
５｜ ２４５
７｜ ４９
７
所以 6125 = 5 x 5 x 5 x 7 x 7 = 5^3 x 7^2
(2)
２｜５ ６ ８
５ ３ ４
所以 5, 6, 8 的最小公倍數 = 2 x 5 x 3 x 4 = 120
所以最小的正方體為 120 x 120 x 120
所求數目 = (120 x 120 x 120)/(5 x 6 x 8) = 7200
參考: knowledge
收錄日期: 2021-04-28 14:21:18
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