Solve the Problem $\frac { x } { a } + \frac { y } { 5 } + \frac { z } { 6 } = 1$

question 262

Multiple Choice

Solve the problem.
-For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane $\frac { x } { a } + \frac { y } { 5 } + \frac { z } { 6 } = 1$ equal to 4 ?

• A) \(a = \frac { 4 } { 5 }\)
• B) \(a = \frac { 8 } { 15 }\)
• C) \(a = \frac { 16 } { 15 }\)
• D) \(\mathrm { a } = \frac { 2 } { 5 }\)

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