Question

Ребро куба a=6-x.Найти по формулам V=a^3-?​

Answer 1

V=a³=(6-x)³=6³-3·6²·x+3·6·x²-x³=216-108x+18x²-x³

Answer 2

To find the volume of the cube, we need to calculate the expression a^3, where a is the length of one edge of the cube.

Given that a = 6 - x, we can substitute this value into the expression for the volume:

V = (6 - x)^3

Now, let's expand the cube:

V = (6 - x)(6 - x)(6 - x) V = (36 - 12x + x^2)(6 - x) V = 36(6) - 36x - 12x(6) + 12x^2 - x(6) + x^3 V = 216 - 36x - 72x + 12x^2 - 6x + x^3 V = 216 - 108x + 12x^2 + x^3

So, the volume of the cube is given by V = x^3 + 12x^2 - 108x + 216.