8 The map for a park is shown alongside, where each grid unit represents 10 m. A large tent is to be constructed on the park for a festival. It will be a rectangular-based pyramid with base ABCD indicated on the map. The apex of the tent is 15 m above the centre of the base. y (m) B 150 C 100 a Suppose ground level has Z-coordinate 0. Find the 3-dimensional coordinates of: i each corner of the base ii the apex of the tent. b Find the volume of air inside the tent. c Find the amount of material needed for the tent. Do 50 A not include the floor. (u) x 50 100

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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232
POINTS IN SPACE (Chapter 9)
8 The map for a park is shown alongside, where each grid
unit represents 10 m.
A large tent is to be constructed on the park for a festival.
It will be a rectangular-based pyramid with base ABCD
indicated on the map. The apex of the tent is 15 m above
the centre of the base.
y (m)
B
150
C
100
a Suppose ground level has Z-coordinate 0. Find the
3-dimensional coordinates of:
i each corner of the base
ii the apex of the tent.
50
b Find the volume of air inside the tent.
c Find the amount of material needed for the tent. Do
not include the floor.
A
D
I (m)
50
100
Transcribed Image Text:232 POINTS IN SPACE (Chapter 9) 8 The map for a park is shown alongside, where each grid unit represents 10 m. A large tent is to be constructed on the park for a festival. It will be a rectangular-based pyramid with base ABCD indicated on the map. The apex of the tent is 15 m above the centre of the base. y (m) B 150 C 100 a Suppose ground level has Z-coordinate 0. Find the 3-dimensional coordinates of: i each corner of the base ii the apex of the tent. 50 b Find the volume of air inside the tent. c Find the amount of material needed for the tent. Do not include the floor. A D I (m) 50 100
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