Question

If the volume of a cuboid is 2x^2-8,then find its possible dimensions

Answer 1

Answer:

LET,

length of cuboid be l

breadth be b

height be h

then,

volume = l * b* h

$2x^{2} -8 = l * b* h$

if we will take x = 1 or 2 then the volume will become negative or zero that is not possible so, taking any no. greater than 1 or 2

let, us take x = 3

then,

2 (3)^2 - 8 = l * b * h

18 - 8 = l * b* h

10 = l * b * h

so, possible dimensions can be,

5 units * 2 units * 1 units

let us now take x = 4

then,

2 ( 4)^2 - 8 = l * b* h

32 - 8 = l * b * h

24 = l * b* h

so, possible dimensions can be,

2 units * 4 units * 3 units

there may be many possible dimensions .

Answer 2

All the numbers more than 2 are the possible dimensions of the cuboid ......