A cuboid wooden box, the sum of the edge length is 72 meters, the ratio of length, width and height is 3:2:1, how many cubic meters is the volume of this wooden box?

A cuboid wooden box, the sum of the edge length is 72 meters, the ratio of length, width and height is 3:2:1, how many cubic meters is the volume of this wooden box?


The length is 72 * 3 / (3 + 2 + 1)
=72 * 3 / 6 = 36 (m)
Width is 72 * 2 / 6 = 24 (m)
The height is 72 * 1 / 6 = 12 (m)
The volume is 12 * 24 * 36 = 10368 (m ^ 3)



Calculation, 1. (2B + 3a) (3a-2b) 2. (x + Y-Z) (X-Y-Z) 3. (3x-2) (2-3x)
1.(2b+3a)(3a-2b)
2.(x+y-z)(x-y-z)
3.(3x-2)(2-3x)


Solution
(2b+3a)(3a-2b)
=(3a)²-(2b)²
=9a²-4b²
(x+y-z)(x-y-z)
=[(x-z)+y][(x-z)-y]
=(x-z)²-y²
=x²-2zx+z²-y²
(3x-2)(2-3x)
=-(3x-2)²
=-(9x²-12x+4)
=-9x²+12x-4



Given a = 2x-3, B = - 3x + 5. Calculate 3A (- 2b)


3A*-2B
=(6x-9)*(6x-10)