We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.
Trapezoid has height 3 cm and bases of 2 cm and 5 cm.
Hence, the area of the trapezoid is given by
[tex]A=\frac{a+b}{2} \times h\\
\\
A=\frac{2+5}{2} \times 3\\
\\
A=\frac{21}{2}[/tex]
Therefore, the volume of the right prism with height h=10 cm is given by
[tex]V=\text{Base area }\times { height}\\
\\
V=\frac{21}{2} \times 10\\
\\
V=105 cm^3[/tex]
Therefore, the volume of the right prism is 105 cubic centimeters.
