Find the Volume of the Indicated Region $\frac { 243 } { 2 }$

question 401

Multiple Choice

Find the volume of the indicated region.
-the region in the first octant bounded by the coordinate planes and the planes x + z = 9, y + 4z = 36

• A) 4374
• B) 54
• C) 486
• D) \(\frac { 243 } { 2 }\)

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Definitions:

National Parks

Protected areas established by a government to preserve natural landscapes and wildlife for public enjoyment and conservation.

Deforestation

The removal of trees and forests, typically for agriculture or urban development.

Biodiversity

The variety of life in the world or in a particular habitat or ecosystem, indicating the health and resilience of biological systems.

Water Supplies

The availability of water resources to meet the consumption needs of individuals, communities, and ecosystems.