A company makes two sizes of boxes shaped like rectangular prisms. Th elarge box is 16 inches tall, 10 inches wide and 10 inches long. Whats the maximum number of boxes that can fit inside the large box?

The maximum number of small boxes that can fit inside the large box are 100.

Step-by-step explanation:

There are some data missing in the question. The dimension of small box is not given so below is figure attached of the small box dimension.

Given:

A company makes two sizes of boxes shaped like rectangular prisms.

The Large box is 16 inches tall, 10 inches wide and 10 inches long.

Now, to find the maximum number of small boxes that can fit inside the large box.

So, we find the volume of large box first by putting formula:

Width = 10 inches.

Height = 16 inches.

Length = 10 inches.

Volume of large box = 1600 cubic inches.

Now, to find the volume of small box by using formula:

Width = 2 inches.

Height = 4 inches.

Length = 2 inches.

Volume of small box = 16 cubic inches.

Now, to get the number of boxes that can fit inside the large box we divide volume of large box by volume of small box:

Therefore, the maximum number of small boxes that can fit inside the large box are 100.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

step-by-step explanation: