Answer:
Volume = 80 cm³
Ratio = 24:5
Volume of each skittle = 0.411 cm³/skittle
Step-by-step explanation:
Given:
Sides of the boxes = 4 cm , 4 cm and 5 cm
Total Skittles hold = 192 skittles
To Find:
Volume = ?
Ratio of skittles to volume = ?
Volume of each skittle = ?
Solution:
Volume of a box is given by the formula
Volume = Length * width * Height
Putting in the values
Volume = 4 * 4 * 5
= 80 cm³
Now to find Ratio of skittles to Volume of box which is
Skittles : Volume = 192 : 80
As 192 and 80 both are divisible by 8 so dividing them by 8
= [tex]\frac{192}{8}:\frac{40}{8}[/tex]
= 24:5
Which is the required ratio
Now we have to find volume of each skittle so it could be found out by dividing total volume with total skittles
So
Volume of each skittle [tex]=\frac{total Volume}{Total Skittles}[/tex]
Putting in the values gives
[tex]=\frac{80}{192}[/tex]
it becomes
= 0.411 cm³/skittle
