Question

Students found that a box with sides 4cm, 4cm, and 5 cm held 192 Skittles.

Answer 1

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

                              = $\frac{192}{8}:\frac{40}{8}$

                               = 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 $=\frac{total Volume}{Total Skittles}$

Putting in the values gives

                                       $=\frac{80}{192}$

it becomes

                                             = 0.411 cm³/skittle