A square-based pyramid has base coordinates O(0, 0, 0), A(6, 0, 0), B(6, 6, 0), and C(0, 6, 0). The apex of the pyramid is D(3, 3, 9). D(3, 3.9) a Verify that the apex lies directly above the centre of the base. 6 Find the volume of the pyramid. c Suppose M is the midpoint of [AB]. i Find the coordinates of M. ii Find the length of [MD]. iii Hence find the surface area of the pyramid. CO. 6,0) A(6,0,0) B(6, 6, 0)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A square-based pyramid has base coordinates O(0, 0, 0),
A(6, 0, 0), B(6, 6, 0), and C(0, 6, 0). The apex of the
pyramid is D(3, 3, 9).
D(3, 3, 9)
a Verify that the apex lies directly above the centre of
the base.
6 Find the volume of the pyramid.
c Suppose M is the midpoint of [AB].
i Find the coordinates of M.
ii Find the length of [MD].
iii Hence find the surface area of the pyramid.
CO. 6,0)
Y
A(6,0,0)
В (6, 6, 0)
Transcribed Image Text:3 A square-based pyramid has base coordinates O(0, 0, 0), A(6, 0, 0), B(6, 6, 0), and C(0, 6, 0). The apex of the pyramid is D(3, 3, 9). D(3, 3, 9) a Verify that the apex lies directly above the centre of the base. 6 Find the volume of the pyramid. c Suppose M is the midpoint of [AB]. i Find the coordinates of M. ii Find the length of [MD]. iii Hence find the surface area of the pyramid. CO. 6,0) Y A(6,0,0) В (6, 6, 0)
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