Students found that a box with sides 12cm, 3 cm, and 3 cm held 43 Jelly Beans?
1 answer:
Answer:
Volume = 108 cm³
Ratio = 0.398 skittle/cm³
No of jellies it will hold = 1872
Step-by-step 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
=
= 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
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