It takes 16 one-inch cubes to completely cover the bottom of a cereal box without leaving any gaps or overlapping any cubes. The picture below represents one layer of 16 cubes covering the bottom of the cereal box. 8 in. 2 in. 12 in. It takes a total of 12 layers of 16 cubes to fill the entire cereal box. What is the volume, in cubic inches, of the cereal box? 0 22 cubic inches 32 cubic inches 0 141 cubic inches 192 cubic inches​

192

Step-by-step explanation:

We know that it will take 12 layers of 16 one-inch ice cubes to fill the cereal box.

The ice cubes are 1inch by 1inch.

So we take the height * length * width

                          12         2           8

=192            

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be