Question

Find the volume of the cuboid whose dimensions are (x+2) (x-1) (x-3)​

Answer 1

Step-by-step explanation: Volume of the cuboid = (l × b × h) units3 = (x + 2) (x – 1) (x – 3) units3 We have (x + a) (x + b) (x + c) = x3 + (a + b + c) x2 + (ab + bc+ ca)x + abc ∴ (x + 2)(x – 1) (x – 3)  = x3 + (2 – 1 – 3)x2 + (2 (-1) + (-1) (-3) + (-3) (2)) x + (2)(-1) (-3) x3 – 2x2 + (-2 + 3 – 6)x + 6 Volume = x3 – 2x2 – 5x + 6 units

Answer 2

Answer:

Volume of cuboid = Ibh

(x+2)(x-1)(x-3)

and answer

x3+2x2-5x+6