Question

a box is a cuboid with dimensions 28cm by 15 cm by 20 cm all measured to the nearest centimetre. Disc cases are cuboids which measure 1.5 cm by 14.2 cm by 19.cm all measured to the nearest millimetre.Show that 17 disc cases, stacked as shown, will definitely fit in the box.

Answer 1

Answer:

See Below

Step-by-step explanation:

To get volume of cuboid, we multiply the 3 dimensions.

Volume of Box = 28 * 15 * 20 = 8400

Volume of 1 disc case = 1.5 * 14.2 * 19 = 404.7

Volume of 17 disc cases = 17 * 404.7 = 6879.9

Since, volume of 17 disc cases is less than volume of the cuboid box, definitely 17 disc cases will fit the box.

Answer 2

Answer:

This only got my 2 out of 4 marks but I hope it is still helpful and you can work on it.

Step-by-step explanation:

27.5×14.5×19.5 = 7775.625cm³

1.55×14.25×19.35 = 427.393125cm³

7775.625÷427.393121 = 18.19314495

This is about upper and lower bound so anybody please carry on and help me here is a start the part underlined is where I got the marks