Question

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

Answer 1

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

To find exact solution we need to know value of x.

x can be any number greater than 5

there can be multiple infinite solutions.

we will discuss here few possible solutions with whole numbers only.

let say x = 6

then volume of cuboid

= (6-2)×(6-3)×(6-5)

= 4 × 3 × 1

= 12

one possible set of dimensions of cuboid can be as simple as

4 , 3 & 1

but other possible solution can be for this volume it self

1× 1 × 12

1 × 2 × 6

1 × 3 × 4 (already shown above)

2 × 2 × 3

similarly there can be further solutions leading to infinite solution with varying value of 5