I need HELP PLEASE
What is the volume of a rectangular prism with the dimensions: base 2
1
2
cm, height 1
1
2
cm, and length 3
1
2
cm?
A) 13
1
8
cm3
B) 8
1
2
cm3
C) 7
1
2
cm3
D) 6
9
16
cm3

C

Step-by-step explanation:

Part A: We know that the equation for finding the area of a triangle is ; we also know that  and , so the only thing we need to do is replacing those values into our Area equation and solve for x:

Now the only thing left is factor the quadratic polynomial:

W can conclude that the area of our triangle is

Part B: Our polynomial has three terms, so is a trinomial; also, our polynoal only has one variable, , and the largest exponent of that variable is 2; therefore is a degree 2 polynomial. In summary, we have a trinomial of degree 2. 

Part C: Part A demonstrate the closure property of polynomials because after multiplying tow polynomials we obtained another polynomial.

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