Hi there, i need some help in finding the A' and C' coordinates. Also i have found D' to be (28.452,10.8853,0) if that helps. Modelling our 5 x 5 x 5 Rubik's cubeThe following pictures show a curious Rubik's-cube-like structure that greets visitors to the MelbourneMuseum.A.WestA'The picture on the right shows what you see when you look at the cube from above using Google EarthGoogle Earth allows you to view many prominent buildings in 3D. Imagine that you are the maths wiz atGoogle whose job it is to create a 3D image of our cube for Google Earth. This means that you have tofind coordinates of the corners of the square A, B, C, D visible from the top, as well as the coordinatesof the points A', B', C', D' at which four edges of the cube intersect the ground. As indicated in thepicture on the left, A is supposed to be connected to A' by such an edge, and similarly for B and B', Cand C', and D and D'.It is your first day on the job and you are supposed to base your work on that of your predecessor, whogot fired yesterday. Their notes are a terrible mess, but it is clear that they started modelling the cubeby letting the (flat) ground coincide with the ry-plane and having the r-axis point North and the y-axispoint West. Their notes don't tell you where the origin of the coordinate system is supposed to be, butwherever it may be, in this coordinate system we haveB (1.9651, 19.8699, 0),D=(29.2866, 13.3456, 11.9406).B= (2.7997, 22.3302, 11.9406), Your job is to determine the coordinates of the remaining corners of the building; the side length of thecube; the lengths of the four segments AA', BB', CC', DD'; the area of the quadrilateral A' B'C' D';and, finally, the volume of the part of the cube that sits above the ground.Please start by summarising your results in the following way, and then provide explanations of howthese results were derived afterwards.A = (*, *, *) (20.4327, 30,786,8.96138B = (2.7997, 22.3302, 11.9406)|AA'| = * mC = (*, *, *) = /1-6535,4.8972,14.9137)D = (29.2866, 13.3456, 11.9406)ー* 1m -12:22m|CC"| =|DD=* m* m12.22mA' = (*, +, *)side length of cube = * m19.7772B'= (1.9651, 19.8699, 0)area of A'B'C'D' = * m²C' = (*, *, *)D' = (*, *, *)volume = * 1%3DFor any single one of these vectors/values that you get wrong, 1 mark1 will be deducted. Onemistake that implies other mistakes will result in every single one of these mistakes being penalisedin this way - Google Earth only accepts results that work! Please make absolutely sure that youdouble-check your results before you submit your report!

given , Cube with A ,B ,C ,D are top vertex and A' ,B' , C' ,D' are the Down vertex that are touches…

Your job is to determine the coordinates of the remaining corners of the building; the side length of the cube; the lengths of the four segments AA', BB', CC', DD'; the area of the quadrilateral A'B'C' D': and, finally, the volume of the part of the cube that sits above the ground.

Your job is to determine the coordinates of the remaining corners of the building; the side length of the cube; the lengths of the four segments AA', BB', CC', DD'; the area of the quadrilateral A'B'C' D': and, finally, the volume of the part of the cube that sits above the ground.

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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Question

Hi there, i need some help in finding the A' and C' coordinates. Also i have found D' to be (28.452,10.8853,0) if that helps.

Modelling our 5 x 5 x 5 Rubik's cube
The following pictures show a curious Rubik's-cube-like structure that greets visitors to the Melbourne
Museum.
A.
West
A'
The picture on the right shows what you see when you look at the cube from above using Google Earth
Google Earth allows you to view many prominent buildings in 3D. Imagine that you are the maths wiz at
Google whose job it is to create a 3D image of our cube for Google Earth. This means that you have to
find coordinates of the corners of the square A, B, C, D visible from the top, as well as the coordinates
of the points A', B', C', D' at which four edges of the cube intersect the ground. As indicated in the
picture on the left, A is supposed to be connected to A' by such an edge, and similarly for B and B', C
and C', and D and D'.
It is your first day on the job and you are supposed to base your work on that of your predecessor, who
got fired yesterday. Their notes are a terrible mess, but it is clear that they started modelling the cube
by letting the (flat) ground coincide with the ry-plane and having the r-axis point North and the y-axis
point West. Their notes don't tell you where the origin of the coordinate system is supposed to be, but
wherever it may be, in this coordinate system we have
B (1.9651, 19.8699, 0),
D=(29.2866, 13.3456, 11.9406).
B= (2.7997, 22.3302, 11.9406),

Your job is to determine the coordinates of the remaining corners of the building; the side length of the
cube; the lengths of the four segments AA', BB', CC', DD'; the area of the quadrilateral A' B'C' D';
and, finally, the volume of the part of the cube that sits above the ground.
Please start by summarising your results in the following way, and then provide explanations of how
these results were derived afterwards.
A = (*, *, *) (20.4327, 30,786,8.96138
B = (2.7997, 22.3302, 11.9406)
|AA'| = * m
C = (*, *, *) = /1-6535,4.8972,14.9137)
D = (29.2866, 13.3456, 11.9406)
ー* 1m -12:22m
|CC"| =
|DD=* m
* m
12.22m
A' = (*, +, *)
side length of cube = * m
19.7772
B'= (1.9651, 19.8699, 0)
area of A'B'C'D' = * m²
C' = (*, *, *)
D' = (*, *, *)
volume = * 1
%3D
For any single one of these vectors/values that you get wrong, 1 mark1 will be deducted. One
mistake that implies other mistakes will result in every single one of these mistakes being penalised
in this way - Google Earth only accepts results that work! Please make absolutely sure that you
double-check your results before you submit your report!

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