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Consider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at A = (1,0,0), B = (0,2,0), C = (0, 1, 3), and D (2,2,0). Calculate the surface area and the volume of the tetrahedron. (Hint: You may use the fact that the volume a tetrahedron is exactly one-sixth of the volume of the parallelepiped generated by the same vectors.) -

Consider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at A = (1,0,0), B = (0,2,0), C = (0, 1, 3), and D (2,2,0). Calculate the surface area and the volume of the tetrahedron. (Hint: You may use the fact that the volume a tetrahedron is exactly one-sixth of the volume of the parallelepiped generated by the same vectors.) -

Elementary Geometry For College Students, 7e
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
Section9.2: Pyramids, Area, And Volume
Problem 38E
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Can you help me with this problem and the parts as well, can you label the parts and can you do it step by step so I can understand how you did it 

A Consider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at (1,0,0), B = (0, 2, 0), C = (0, 1, 3), and D = (2,2,0). Calculate the surface area and the volume of the tetrahedron. (Hint: You may use the fact that the volume a tetrahedron is exactly one-sixth of the volume of the parallelepiped generated by the same vectors.) =
Transcribed Image Text:A Consider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at (1,0,0), B = (0, 2, 0), C = (0, 1, 3), and D = (2,2,0). Calculate the surface area and the volume of the tetrahedron. (Hint: You may use the fact that the volume a tetrahedron is exactly one-sixth of the volume of the parallelepiped generated by the same vectors.) =
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