Question

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

Answer 1

Answer:

hope this may help u....

Answer 2

dimensions are (x+2), (x-1), (x-3)

so,

let length or l be (x+2)

let breadth or b be (x-1)

let height or h be (x-3)

so,

volume = l×b×h

so,

$l \times b \times h \\ = (x + 2) \times (x - 1) \times (x - 3) \\ = ( x + 2)(x - 1)(x - 3) \\ = ( {x}^{2} + 2x - x - 2)(x - 3) \\ = ( {x}^{2} + x - 2)(x - 3) \\ =( {x}^{3} + {x}^{2} - 2x - 3 {x}^{2} - 3x + 6) \\ = ( {x}^{3} + {x}^{2} - 3 {x}^{2} - 2x - 3x + 6 )\\ = {x}^{3} - 2 {x}^{2} - 5x + 6$

so,

the volume is x³ - 2x² - 5x + 6

Hope this helps you.