The expression that represents the volume of the prism is 30x² cubic units.
Option D) is the correct answer.
What is a prism?
A prism is simply a solid geometric with two polygonal faces laying in parallel planes and with the other faces parallelograms.
Volume of a prism is expressed as;
Volume = base area × height
Also, the base area is expressed using the area of a trapezoid.
Hence,
Base area = (1/2) × h( a + b )
Now, let;
Base area will be;
Base area = (1/2) × h( a + b )
Base area = (1/2) × x( x + 2x )
Base area = (1/2) × 3x²
Base area = 3x²/2
Now volume will be;
Volume = base area × height
Volume = 3x²/2 × h
So, let h be 20 units
Volume = 3x²/2 × 20uniit
Volume = 60x²/2
Volume = 30x² cubic units
Therefore, the expression that represents the volume of the prism is 30x² cubic units.
Option D) is the correct answer.
Learn more about volume of Prism here: brainly.com/question/21308574
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