Find the volume

the photo of the question is given above.

Volume = 110 cubic centimeter

Step-by-step explanation:

Assuming dimensions in centimeter.

Considering the given figure as trapezoidal prism with two parallel side a=4 cm and side b=7cm, with height h= 2 cm and height between the the trapezium end H=10 cm.

Now,

Area of trapezium A= half into sum of parallel sides into height

Now,

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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