Find the volume
The photo of the question is given above.
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Answer:
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
[tex]A=\frac{1}{2} \times(Side\ a+Side\b)\times h[/tex]
[tex]A=\frac{1}{2}\times(4+7)\times 2[/tex]
[tex]A=\frac{1}{2} \times 11\times 2[/tex]
[tex]A=\frac{1}{2} \times 22[/tex]
[tex]A=11\ square\ cm[/tex]
Now,
[tex]Volume=Area\times Height\ of\ trapezium\ ends[/tex]
[tex]Volume=A\times H[/tex]
[tex]Volume=11\times 10[/tex]
[tex]Volume=110\ cubic\ centimeter[/tex]