Respuesta :

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]