A box is a cuboid with dimensions 28cm by 15cm by 20cm all measured to the nearest centimetre. Disc cases are cuboid which measure 1.5 by 14.2 cm by 19.3 cm all measure to the nearest millimetre. Show that 17 disc cases, stacked as shown, will definitely fit the box

The 17 disc cases would definitely fit into the box.

Step-by-step explanation:

The given cuboid box has the dimensions 28cm by 15cm by 20cm.

Disc cases are cuboid with dimensions 1.5cm by 14.2cm by 19.3cm.

volume of a cuboid = length × width × height

Volume of the box = 28 × 15 × 20

                               = 8400 cubic centimeters

Volume of each disc case = 1.5 × 14.2 × 19.3

                                           = 411.09 cubic centimeters

When the 17 disc cases are stacked it would have a volume.

The volume of 17 disc cases = 17 × volume of a case

                                               = 17 × 411.09

                                               = 6988.53 cubic centimeters

Thus comparing the volume for 17 disc cases and that of the cuboid box, the disc cases would definitely fit into the box.

i.e           =    

              =

             = 1.20

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.