數學題(中一至中二)急!!

準確至最接近的b cm, 即每邊的誤差值最多為b/2 cm
容器體積的真確值的上限
= (a + b/2)^3 [註: 因為是立體, 要3次方]
= a^3 + 3 * a^2 * (b/2) + 3 * a * (b/2)^2 + (b/2)^3
= a^3 + 3/2 * a^2 * b + 3/4 * a * b^2 + b^3 / 8

註: (a + b)^n = sum [0...n] nCi * a^i * b^(n - i)
(a + b)^3 = a^3 + 3a^2*b + 3a * b^2 + b^3

2007-08-01 23:40:51 補充：
http://en.wikipedia.org/wiki/Binomial_theorem