3
practice testMultiple Choice

Practice Test

Question 3 • TPS EdX Geometry

The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units. Which expression represents the volume of the prism, in cubic units?

Answer
A
x cubed plus 3 x squared
B
x cubed plus 9
C
x cubed plus 6 x squared plus 9 x
D
x cubed plus 3 x plus 3

Explanation

The square base has side length x, so its area is x². The height is 3 units greater than the base length, so it is x + 3. Volume equals base area times height: x²(x + 3) = x³ + 3x². Therefore, the expression is “x cubed plus 3 x squared.”

AI-written and checked against the verified answer.

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