Find the volume of the indicated region.
-$$\text { the region that lies under the plane } \frac { x } { 2 } + \frac { y } { 4 } + \frac { z } { 9 } = 1 \text { and above the square } 0 \leq x , y \leq \frac { 4 } { 3 }$$
A) 72
B) 36
C) 8
D) 18

Question

Quizplus · Accepted Answer

The volume is found by integrating the height of the plane above the square region. The height is given by $ z = 9 - \frac{x}{2} - \frac{y}{4} $. Integrating this over the square $ 0 \leq x, y \leq \frac{4}{3} $ gives the volume as 8.

Find the Volume of the Indicated Region A) 72 B) 36 C) 8 D) 18

Find the Volume of the Indicated Region A) 72
B) 36
C) 8
D) 18