The points O, A, B, C have coordinates (0,0,0), (a, 0,0), (0, b, 0) and (0,0, c) respectively, where a, b, c are positive. (i) Find, in terms of a, b, c the volume of the tetrahedron OABC.
The points O, A, B, C have coordinates (0,0,0), (a, 0,0), (0, b, 0) and (0,0, c) respectively, where a, b, c are positive. (i) Find, in terms of a, b, c the volume of the tetrahedron OABC.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...
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Note that the volume of a tetrahedron is equal to
1/3× area of base × height
The points O, A, B, C have coordinates (0,0,0), (a, 0,0), (0, b, 0) and (0,0, c) respectively,
where a, b, c are positive.
(i) Find, in terms of a, b, c the volume of the tetrahedron OABC.
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