Answer:
the volume is 917.7 cubic meters
Step-by-step explanation:
Hello, I can help you with this
Because the thickness of the figure is constant we can calculate the volume by multiplying the area times the thickness, that is the area of the trapezoid multiplied by the thickness
[tex]Volume=Area\ of\ trapezoid\ * thickness\\[/tex]
Step 1
Remember
[tex]Area\ of\ trapezoid = \frac{a+b}{2}* heigth\\[/tex]
where
a is the bigger base
b is the smaller base
Let
a= 7 m
b=16 m
heigth =13.3
[tex]Area\ of\ trapezoid = \frac{a+b}{2}* heigth\\\\Area\ of\ trapezoid = \frac{16+7}{2}* 13.3\\\\Area\ of\ trapezoid =\frac{23}{2}* 13.3\\Area\ of\ trapezoid=152.95[/tex]
so the area of the trapezoid is 152.95 square meters
Step 2
find the volume
[tex]Volume=Area\ of\ trapezoid\ * thickness\\\\Volume=152.95\ m^{2} * 6\ m\\\\Volume=917.7\ m^{3}[/tex]
so, the volume is 917.7 cubic meters
Have a good day
