Question

find the volumeof the cuboid whose dimensions are(x+2),(x-1)and (x-3)​

Answer 1

Answer:

Given the dimensions of the cuboid as (x + 2), (x – 1) and (x – 3) ∴ 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 units3 the-volume-of-the-cuboid-whose-dimensions-are-x-2-x-1-and-x-3