the point 225. Consider the pyramid with the base in the xy-plane of [-2, 2] × [-2, 2] and the vertex at (0, 0, 8). a. Show that the equations of the planes of the lateral faces of the pyramid are 4y + z = 8, 4y -z = -8, 4x + z = 8, and - 4x + z = 8. b. Find the volume of the pyramid.
the point 225. Consider the pyramid with the base in the xy-plane of [-2, 2] × [-2, 2] and the vertex at (0, 0, 8). a. Show that the equations of the planes of the lateral faces of the pyramid are 4y + z = 8, 4y -z = -8, 4x + z = 8, and - 4x + z = 8. b. Find the volume of the pyramid.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![225. Consider the pyramid with the base in the xy-plane of [-2, 2] × [-2, 2] and the vertex at the point
(0, 0, 8).
a. Show that the equations of the planes of the lateral faces of the pyramid are 4y + z = 8, 4y -z = -8,
4x + z = 8, and - 4x + z = 8.
b. Find the volume of the pyramid.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e36c1ab-9e8c-4613-bbd5-6c92a56316fe%2F104911dc-d1a7-40e9-8927-0f2a27e5a7e8%2Fei4ewje_processed.png&w=3840&q=75)
Transcribed Image Text:225. Consider the pyramid with the base in the xy-plane of [-2, 2] × [-2, 2] and the vertex at the point
(0, 0, 8).
a. Show that the equations of the planes of the lateral faces of the pyramid are 4y + z = 8, 4y -z = -8,
4x + z = 8, and - 4x + z = 8.
b. Find the volume of the pyramid.
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