Answer:
15x^2 cubic units
Step-by-step explanation:
The options of the question are
10x3 cubic units
15x2 cubic units
20x3 cubic units
30x2 cubic units
see the attached figure to better understand the problem
we know that
The volume of the prism is equal to
[tex]V=BH[/tex]
where
B is the area of the base (trapezoid)
H is the height of the prim
Determine the area of the base B
The area of a trapezoid is
[tex]B=\frac{1}{2}(x+2x)x[/tex]
[tex]B=1.5x^2\ units^2[/tex]
we have
[tex]H=10\ units[/tex] ----> is the perpendicular distance from the bases
substitute
[tex]V=1.5x^2(10)=15x^2\ units^3[/tex]
Answer: the answer is B
Step-by-step explanation:
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