possible solutions...
a. 3
b. 4
c. 6
d. 8
e. 12
f. 18
or none of these
2007-07-28 10:29:05 · 2 answers · asked by chris 2 in Science & Mathematics ➔ Mathematics
(-4,0,0)
(0,-3,0)
(0,0,-2)
(4*3)*1/2*2*1/3 = 4
Answer is b.
2007-07-28 10:36:23 · answer #1 · answered by Maciej F 1 · 1⤊ 1⤋
The solid in question is a tetrahedron, that is, a pyramid with a triangular base.
Volume = (1/3) base * height.
The plane 3x + 4y + 6z =12 intersects the x, y, and z axes at the points
(4, 0, 0); (0, 3, 0); and (0, 0, 2).
Let the base of the pyramid be in the xy plane. It is then a right triangle with legs of length 4 and 3.
Base = (1/2)4*3 = 6
The height is determined by the intercept of the z-axis. It is 2.
Volume = (1/3)bh = (1/3)6*2 = 4
The answer is b.
2007-07-29 03:16:05 · answer #2 · answered by Northstar 7 · 1⤊ 0⤋