Students found that a box with sides 4cm, 4cm, and 5 cm held 192 skittles. - what is the volume of the box? - what is the ratio of skittles to the volume of the box (in cm 3 )? - what is the volume of each skittle?

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

                              =

                               = 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

Putting in the values gives

it becomes

                                             = 0.411 cm³/skittle

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step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it