The dimensions of the Surf City Community Pool are shown below. How many cubic meters of water are needed to fill the entire pool?

A: 210

B: 525

C: 735

D: 1050

C: 735

Step-by-step explanation:

We can split the pool into two 3D shapes.

The first rectangular prism on the left would equal 7 * 5 * 15 = 525 cubic meters

The second rectangular prism on the right would equal 7 * 2 * 15 =210 cubic meters.

In total, 525 + 210 = 735 cubic meters

we need more info to solve this

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.