Question

A box is a cuboid with dimensions 29cm by 15cm by 20cm all measured to the nearest centimetre.? disc cases are cuboids measured 1.4cm by 14.2 by 19.3 to t he nearest millimetre. show that 19 disc cases stacked straight down will definitely fit in the box

Answer 1

29 x 15 x 20 = 8,700 (volume of box)

1.4 x 14.2 x 19.3 = 383.68 (volume of case)

so we can find this by two ways of solving
- 8700/383.68 = 22.6 —> 22
- 383.68 x 19 = 7,289.92 < 8,700

Answer 2

See explanation.

Explanation:

The question requires you to determine the volume of both the box and the disc case then find how many of the disc cases can fit in to the box.

The volume of the box

V= l*w*h

V= 29 * 15 * 20 = 8700 cm³

The volume of the disc case

V=l*w*h

V=1.4 * 14.2*19.3

V=383.684 cm³

The number of disc cases that fit in the box will be;

8700/383.684

22.67

In this calculation, it is clear that 19 of these disc cases will definitely in the box because the box can accommodate 22 of these disc cases.