## Find the coordinates of the corners A, B, C, D of the top square, as well as the coordinates of the points A0 , B0 , C0 , D0 at which four edges of the cube meet the ground.

Find the coordinates of the corners A, B, C, D of the top square, as well as the coordinates of the points A0 , B0 , C0 , D0 at which four edges of the cube meet the ground. And here A is supposed to be connected to A0 by such an edge, and similarly for B and B0 , C and C 0 , and D and D0 . Here are a few clues to get you started:

• The ground coincides with the xy-plane

• The y-axis points West and the x-axis points North.

• A = (43.1162, 29.9541, 7.72383), A0 = (42.3208, 27.8349, 0), B0 = (25.7441, 19.8898, 0). You are also supposed to figure out the side length of the cube; how long the four segments AA0 , BB0 , CC0 , DD0 are; how large the area of the quadrilateral A0 , B0 , C0 , D0 is; and, finally, what the volume of the part of the cube is that sits above the ground. Very important: At the end of your report, summarise your results as follows: 5

A = (43.1162, 29.9541, 7.72383)

B = (*, *, *)

C = (*, *, *)

D = (*, *, *)

A 0 = (42.3208, 27.8349, 0)

B 0 = (25.7441, 19.8898, 0)

C 0 = (*, *, *)

D 0 = (*, *, *)

|AA0 | = *m

|BB0 | = *m

|CC0 | = *m

|DD0 | = *m

sidelength = *m

area(A 0B 0C 0D 0 ) = *m2

volume = *m3

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