Aright rectangular prism is packed with cubes of side length fraction 1 over 3 inch. if the prism is packed with 6 cubes along the length, 4 cubes along the width, and 8 cubes along the height, what is the volume of the prism?

fraction 7 and 1 over 9 cubic inches

fraction 17 and 7 over 9 cubic inches

16 cubic inches

192 cubic inches

The correct answer is :7 and 1 over 9 cubic inches  that is .

Step-by-step explanation:

Length of the cube = a =

Volume of the cube = V

V= =

Right rectangular prism is packed with these cubes:

Number of cubes placed along the length = 6 cubes

Number of cubes placed along the width = 4 cubes

Number of cubes placed along the height = 8 cubes

Total number of cubes in the right rectangular prism = 6 × 4 × 8 = 192 cubes

Volume of the right rectangular prism :

Number of cubes × Volume of cube

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value