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32 m^2

Step-by-step explanation:

First find the volume of the bottom section

V = l * w*h

V = 6 * 2 * 2 = 24 m^2

Then find the volume of the top section in green

The length is 6-4 =2,  the height is 4-2, width is 2

V = = l*w*h = 2*2*2 = 8

Ad the volumes together

V = 24+8 = 32 m^2

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.