Please help
Find the surface area of the rectangular prism.
7in, 12in, and 2in.

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

The prism has six sides, so check that whatever list you make lines up.

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

15

step-by-step explanation:

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.