First we need to find the volume of the cube, which is 43, or 64.
The equation for the volume of a pyramid is V=(1/3)Bh, where B is the area of the base and h is the height. So, we need to find B. The equation is B=lw, where l=length and w=width. Since it is a square, they are going to be the same. That means B=8(8), or 64.
What we know:
Divide both side by 64 to get 1=1/3h
Multiply both side by 3 to get 3=h
Your answer is:
Line AB is horizontal. We know that parallelograms have two sets of parallel sides, meaning line CD will also be horizontal, or have a slope of 0.
Next we need to find the slope of line BC, which would be -1/2. That would be parallel to AD.
Point D will be the solution of line CD and AD. The equations for those two lines are:
So we take x=2 and y=0 to get the coordinates (2,0).