Question

the areas of three adjacent faces of a cuboid are 16 cm square 115 CM square and 60 CM square find the volume of cuboid and dimensions of cuboid

Answer 1

Area of 1st adjacent face = Length × Breadth

                             15 cm² = l × b                           -------------(1)

So,In this case length can be 1 or 15 or 5 or 3

     breadth can be 1cm or 15cm or 5cm or 3cm

Area of 2nd adjacent face = Breadth × Height

                              20 cm² = b × h                         --------------(2)

In this case breadth could be 1cm or 20cm or 5cm or 4cm or 10cm or 2cm

In both the cases 5 is common for breadth.

  So, breadth is 5 cm

                     Put breadth= 5 cm in (1) we get,

                                 15cm² = l × 5cm

                               ⇒ length = 15cm²/5cm = 3cm 

and 

                             Putting breadth = 5cm in (2) we get,

                           20cm² = 5cm × height

                        ⇒ height= 20cm²/5cm = 4cm 

So, Length   = 3 cm

       Breadth = 5 cm

       Height   = 4 cm

We know that volume of cuboid is Length×Breadth×Height

So, Volume of cuboid = 3cm×5cm×4cm =60cm³ 

                             

it is not ecact but it is related to that hope it helps u.....✌✌