1 is right
2 is C
And 3 is right
There are 6 faces in this prism. Each pair of opposite faces is two congruent faces.
The front and back faces have dimensions x by x + 4.
The right and left faces have dimensions x + 2 by x + 4.
The top and bottom faces have dimensions x by x + 2.
Let's find the area of each different face.
Front & back:
A = LW = x(x + 4) = x^2 + 4x
Right and left:
A = LW = (x + 2)(x + 4) = x^2 + 4x + 2x + 8 = x^2 + 6x + 8
Top & bottom:
A = LW = x(x + 2) = x^2 + 2x
Now we add the three areas:
x^2 + 4x + x^2 + 6x + 8 + x^2 + 2x =
=3x^2 + 12x + 8
The polynomial above is the sum of the areas of three different faces.
Each of the three different faces has a congruent opposite face with the same area, so we double this area to find the total surface area of all 6 faces.
2(3x^2 + 12x + 8) = 6x^2 + 24x + 16
The answer is option A.
Answer:
Step-by-step explanation:
Describe orally and in writing the relationships among the sets of natural or counting numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. Illustrate the relationships among the subsets of the real number system by using graphic organizers such as Venn diagrams.