Question

what are the dimensions of the cuboid whose volume is (x-2)(x-3)(x-5);x>5 solution

Answer 1

dimensions of the cuboid whose volume is (x-2)(x-3)(x-5) will depend upon value of x

x>5 mentioned in question

if x = 6

then volume of cuboid = (6-2)×(6-3)×(6-5)

= 4 × 3 × 1 = 12

as volume of cuboid is only known so dimensions of cuboids can be many whose products = 12

simplest cuboid would be with dimensions

4 , 3 & 1

another possible combination could be for whole integers

1 × 2 × 6

2 × 2 × 3

similarly many values of x are possible

so infinite solutions