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

To determine if 17 disc cases will fit in the box, calculate the volumes of both the box and the disc case. Divide the volume of the box by the volume of one disc case to determine the number of disc cases that will fit. 17 disc cases will definitely fit in the box.

Step-by-step explanation:

To determine if 17 disc cases will fit in the box, we need to calculate the volumes of both the box and the disc case. The volume of a cuboid can be calculated by multiplying its length, width, and height.

The volume of the box is therefore 28 cm x 15 cm x 20 cm = 8400 cm³.

Similarly, the volume of the disc case is 1.5 cm x 14.2 cm x 19 cm = 401.1 cm³.

Now, to find out if 17 disc cases will fit in the box, we divide the volume of the box by the volume of one disc case: 8400 cm³ / 401.1 cm³ = 20.94.

Since 17 disc cases will take up less volume than 20.94 disc cases, we can conclude that 17 disc cases will definitely fit in the box.

Answer 2

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