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jmc

geometry senior

Problem

Points , , , and are in space such that each of , , and is perpendicular to the other two. If and , then what is the volume of pyramid ?
Solution


We can think of as the base of the pyramid, and as the height from apex to the base, since is perpendicular to face . The area of right triangle is square units, so the volume of the pyramid is cubic units.
Final answer
150