Question Calculate the volume of the prism by first finding the total number of half-unit
cubes that will fill it. There are 8 half-unit cubes in every unit cube.
O A. Number of half-unit cubes = 5
V=1 cubic units
O B. Number of half-unit cubes = 10
V=12 cubic units
OC. Number of half-unit cubes = 10
V = 5 cubic units
O D. Number of half-unit cubes = 5
V = 2) cubic units

B

Step-by-step explanation:

the way they are explaining the problem doesnt quite make sence, but from what i can tell...

the volume of the cube is 1 1/4, i came up with this because i used the method of multiplying width by height by length

1/2 * 1 * 2 1/2 = 1 1/4

so if theres 8 half unit cubes per unit cube, then we can take the two numbers given to us and divide them by 1 1/4 or 1.25 in decimal

5 / 1 1/4 = 4

10 / 1 1/4 = 8

so your answer is B

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

900 degrees

step-by-step explanation: