How do you find the volume of the solid bounded by the coordinate planes and the plane 6x + 5y + z = 6?
1 Answer
Nov 19, 2016
1.2 cubic units.
Explanation:
The plane meets axes at A(1, 0, 0), B(1, 6/5, 9) and C(0, 0, 6).
The intercepts OA = 1, OB = 6/5 and OC =6.
Use pyramid volume formula
Volume = 1/3(base area)(height).
The volume of the tetrahedron OABC
= 1/3 (area of the
= (1/6)(1) (6/5 )(6
=6/5 cubic units.