A student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 meters to be 4,968 cubic meters. Explain and correct the answer.

v = 1656 cubic meters

Step-by-step explanation:

what we have =  base area = 92 square meters

                       = height = 54 meters

the volume formula of a rectangular pyramid = V=lwh  /3

since base area = lw

lw = 92 meters

now we can write - 92* 54 /3

                             = 4968 /3

                             = 1656

So the corect answer is 1656 cubic meters and the student is wrong.

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.