Answer:
Depends. See text.
Step-by-step explanation:
Surface area or volume?
Ther are two options.
Case 1: we know nothing about the green angles I've marked in green. Data is insufficient to determine the perimeter of the trapezoid base, and then to calculate the surface area.
Case 2:Unlikely, since the right angles are marked everywhere else when not obvious: the base of the prism is a right trapezoid, ie two of the angles measures 90°. In that case we can easily find the length of the missing side with pythagorean theorem: [tex]l=\sqrt{1+3^2}= \sqrt{10}[/tex]. Perimeter becomes [tex]2p=6+7+3+\sqrt{10}=16+\sqrt{10}[/tex]. Base area is [tex]A_b=\frac12(6+7)\times 3 = \frac{39}2[/tex] And the total surface becomes [tex]S= 2A_b+2pH = 39+(16+\sqrt{10})20 = 39+320+20\sqrt{10}=359+20\sqrt{10}[/tex]
Or is it the volume you want? Way simpler, we calculate the area of the prism (see above) and multiply it by the height of the solid:
[tex]V = A_bH = \frac{39}2\times 20 = 390[/tex]
