Question

Students found that a box with sides 12cm, 3 cm, and 3 cm held 43 Jelly Beans?

- What is the volume of the box?

- What is the ratio of jelly beans to the volume of the box (in cm^3 )?

- Using the ratios found above, how many Jelly Beans would fit in a rectangular jar 28 cm tall with, that is 14 cm wide and 12 cm deep?

Answer 1

Volume = 108 cm³

Ratio = 0.398 skittle/cm³

No of jellies it will hold = 1872

Explanation:

Given:

Sides of the boxes = 12 cm , 3 cm and 3 cm

Total Jelly hold = 43 jelly

Other Box dimensions = 28 cm , 14 cm , 12 cm

To Find:

Volume = ?

Ratio of jellies to volume = ?

No of jelly fit in another box = ?

Solution:

Volume of a box is given by the formula

Volume = Length * width * Height

Putting in the values

Volume = 12 * 3 * 3

= 108 cm³

Now to find Ratio of jellies to Volume of box which is

Jellies : Volume = 43 : 108

As 43 and 108 both are not divisible by any number so it can be written as

=
`(43)/(108)`

= 0.398 jellies / cm³

Which is the required ratio

Now we have to find How many jellies fit in a new box So

Volume of new box =length * width * height

=28*14*12

= 4704 cm³

This box holds Jellies = Volume * ratio of each jelly per cm³

Putting in the values

Holding of jellies = 4704 * 0.398

= 1872.19 jellies or 1872 jellies