Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 12.1, Problem 34PPS

(a)

To determine

To create the orthographic drawings of three different solids.

(a)

Expert Solution
Check Mark

Explanation of Solution

Let’s create orthographic drawings of three different solids.

Solid (1) made of three cubes.

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  1

Front view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  2

Top view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  3

Side view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  4

Solid (2) made four cubes

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  5

Front view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  6

Top view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  7

Side view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  8

Solid (3) made four cubes

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  9

Front view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  10

Top view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  11

Side view

  Geometry, Student Edition, Chapter 12.1, Problem 34PPS , additional homework tip  12

(b)

To determine

To create a table comparing the number of cubes in solid and orthographic drawing.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given information:

Three solids and their orthographic drawings as in part (a)

Table:

The table shows the number of cubes needed to construct the solid 1, 2, and 3 in part (a) and number of squares visible in the corresponding orthographic drawing.

    Solid Number of cubes required in solidNumber of squares visible in orthographic drawing
    137
    2

    4

    9
    349

(c)

To determine

To interpret the results in the table in part (b)

(c)

Expert Solution
Check Mark

Explanation of Solution

Given information:

The table in part (b) shows the number of cubes needed to construct the solid 1, 2, and 3 in part (a) and number of squares visible in the corresponding orthographic drawing.

Interpretation:

By analyzing the table in part (b) we can conclude that there is no direct relation between the number of solids and number of squares in orthographic drawing.

But the number of squares in orthographic drawing will depend on the arrangement of the cubes that creates the solids.

Chapter 12 Solutions

Geometry, Student Edition

Ch. 12.1 - Prob. 8PPSCh. 12.1 - Prob. 9PPSCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21PPSCh. 12.1 - Prob. 22PPSCh. 12.1 - Prob. 23PPSCh. 12.1 - Prob. 24PPSCh. 12.1 - Prob. 25PPSCh. 12.1 - Prob. 26PPSCh. 12.1 - Prob. 27PPSCh. 12.1 - Prob. 28PPSCh. 12.1 - Prob. 29PPSCh. 12.1 - Prob. 30PPSCh. 12.1 - Prob. 31PPSCh. 12.1 - Prob. 32PPSCh. 12.1 - Prob. 33PPSCh. 12.1 - Prob. 34PPSCh. 12.1 - Prob. 35HPCh. 12.1 - Prob. 36HPCh. 12.1 - Prob. 37HPCh. 12.1 - Prob. 38HPCh. 12.1 - Prob. 39HPCh. 12.1 - Prob. 40STPCh. 12.1 - Prob. 41STPCh. 12.1 - Prob. 42STPCh. 12.1 - Prob. 43STPCh. 12.1 - Prob. 44SPRCh. 12.1 - Prob. 45SPRCh. 12.1 - Prob. 46SPRCh. 12.1 - Prob. 47SPRCh. 12.1 - Prob. 48SRCh. 12.1 - Prob. 49SRCh. 12.1 - Prob. 50SRCh. 12.2 - Prob. 1CYPCh. 12.2 - Prob. 2CYPCh. 12.2 - Prob. 3ACYPCh. 12.2 - Prob. 3BCYPCh. 12.2 - Prob. 4CYPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9PPSCh. 12.2 - Prob. 10PPSCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 28PPSCh. 12.2 - Prob. 29PPSCh. 12.2 - Prob. 30PPSCh. 12.2 - Prob. 31PPSCh. 12.2 - Prob. 32PPSCh. 12.2 - Prob. 33PPSCh. 12.2 - Prob. 34PPSCh. 12.2 - Prob. 35PPSCh. 12.2 - Prob. 36PPSCh. 12.2 - Prob. 37PPSCh. 12.2 - Prob. 38PPSCh. 12.2 - Prob. 39HPCh. 12.2 - Prob. 40HPCh. 12.2 - Prob. 41HPCh. 12.2 - Prob. 42HPCh. 12.2 - Prob. 43HPCh. 12.2 - Prob. 44HPCh. 12.2 - Prob. 45STPCh. 12.2 - Prob. 46STPCh. 12.2 - Prob. 47STPCh. 12.2 - Prob. 48STPCh. 12.2 - Prob. 49SPRCh. 12.2 - Prob. 50SPRCh. 12.2 - Prob. 51SPRCh. 12.2 - Prob. 52SPRCh. 12.2 - Prob. 53SPRCh. 12.2 - Prob. 54SRCh. 12.2 - Prob. 55SRCh. 12.2 - Prob. 56SRCh. 12.3 - Prob. 1CYPCh. 12.3 - Prob. 2ACYPCh. 12.3 - Prob. 2BCYPCh. 12.3 - Prob. 3ACYPCh. 12.3 - Prob. 3BCYPCh. 12.3 - Prob. 4CYPCh. 12.3 - Prob. 5ACYPCh. 12.3 - Prob. 5BCYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7PPSCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22PPSCh. 12.3 - Prob. 23PPSCh. 12.3 - Prob. 24PPSCh. 12.3 - Prob. 25PPSCh. 12.3 - Prob. 26PPSCh. 12.3 - Prob. 27PPSCh. 12.3 - Prob. 28PPSCh. 12.3 - Prob. 29PPSCh. 12.3 - Prob. 30PPSCh. 12.3 - Prob. 31PPSCh. 12.3 - Prob. 32PPSCh. 12.3 - Prob. 33PPSCh. 12.3 - Prob. 34PPSCh. 12.3 - Prob. 35PPSCh. 12.3 - Prob. 36PPSCh. 12.3 - Prob. 37HPCh. 12.3 - Prob. 38HPCh. 12.3 - Prob. 39HPCh. 12.3 - Prob. 40HPCh. 12.3 - Prob. 41HPCh. 12.3 - Prob. 42HPCh. 12.3 - Prob. 43STPCh. 12.3 - Prob. 44STPCh. 12.3 - Prob. 45STPCh. 12.3 - Prob. 46SPRCh. 12.3 - Prob. 47SPRCh. 12.3 - Prob. 48SPRCh. 12.3 - Prob. 49SPRCh. 12.3 - Prob. 50SPRCh. 12.3 - Prob. 51SPRCh. 12.3 - Prob. 52SPRCh. 12.3 - Prob. 53SPRCh. 12.3 - Prob. 54SPRCh. 12.3 - Prob. 55SRCh. 12.3 - Prob. 56SRCh. 12.3 - Prob. 57SRCh. 12.4 - Prob. 1ACYPCh. 12.4 - Prob. 1BCYPCh. 12.4 - Prob. 2ACYPCh. 12.4 - Prob. 2BCYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4CYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6CYUCh. 12.4 - Prob. 7CYUCh. 12.4 - Prob. 8CYUCh. 12.4 - Prob. 9CYUCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33PPSCh. 12.4 - Prob. 34PPSCh. 12.4 - Prob. 35PPSCh. 12.4 - Prob. 36PPSCh. 12.4 - Prob. 37PPSCh. 12.4 - Prob. 38PPSCh. 12.4 - Prob. 39PPSCh. 12.4 - Prob. 40PPSCh. 12.4 - Prob. 41PPSCh. 12.4 - Prob. 42HPCh. 12.4 - Prob. 43HPCh. 12.4 - Prob. 44HPCh. 12.4 - Prob. 45HPCh. 12.4 - Prob. 46HPCh. 12.4 - Prob. 47HPCh. 12.4 - Prob. 48STPCh. 12.4 - Prob. 49STPCh. 12.4 - Prob. 50STPCh. 12.4 - Prob. 51STPCh. 12.4 - Prob. 52SPRCh. 12.4 - Prob. 53SPRCh. 12.4 - Prob. 54SPRCh. 12.4 - Prob. 55SPRCh. 12.4 - Prob. 56SPRCh. 12.4 - Prob. 57SPRCh. 12.4 - Prob. 58SPRCh. 12.4 - Prob. 59SPRCh. 12.4 - Prob. 60SRCh. 12.4 - Prob. 61SRCh. 12.4 - Prob. 62SRCh. 12.5 - Prob. 1ACYPCh. 12.5 - Prob. 1BCYPCh. 12.5 - Prob. 2ACYPCh. 12.5 - Prob. 2BCYPCh. 12.5 - Prob. 2CCYPCh. 12.5 - Prob. 3CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5CYUCh. 12.5 - Prob. 6CYUCh. 12.5 - Prob. 7CYUCh. 12.5 - Prob. 8CYUCh. 12.5 - Prob. 9CYUCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18PPSCh. 12.5 - Prob. 19PPSCh. 12.5 - Prob. 20PPSCh. 12.5 - Prob. 21PPSCh. 12.5 - Prob. 22PPSCh. 12.5 - Prob. 23PPSCh. 12.5 - Prob. 24PPSCh. 12.5 - Prob. 25PPSCh. 12.5 - Prob. 26PPSCh. 12.5 - Prob. 27PPSCh. 12.5 - Prob. 28PPSCh. 12.5 - Prob. 29PPSCh. 12.5 - Prob. 30PPSCh. 12.5 - Prob. 31PPSCh. 12.5 - Prob. 32PPSCh. 12.5 - Prob. 33PPSCh. 12.5 - Prob. 34PPSCh. 12.5 - Prob. 35PPSCh. 12.5 - Prob. 36HPCh. 12.5 - Prob. 37HPCh. 12.5 - Prob. 38HPCh. 12.5 - Prob. 39HPCh. 12.5 - Prob. 40HPCh. 12.5 - Prob. 41STPCh. 12.5 - Prob. 42STPCh. 12.5 - Prob. 43STPCh. 12.5 - Prob. 44STPCh. 12.5 - Prob. 45SPRCh. 12.5 - Prob. 46SPRCh. 12.5 - Prob. 47SPRCh. 12.5 - Prob. 48SPRCh. 12.5 - Prob. 49SRCh. 12.5 - Prob. 50SRCh. 12.5 - Prob. 51SRCh. 12.5 - Prob. 52SRCh. 12.6 - Prob. 1ACYPCh. 12.6 - Prob. 1BCYPCh. 12.6 - Prob. 2ACYPCh. 12.6 - Prob. 2BCYPCh. 12.6 - Prob. 2CCYPCh. 12.6 - Prob. 3ACYPCh. 12.6 - Prob. 3BCYPCh. 12.6 - Prob. 4CYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4CYUCh. 12.6 - Prob. 5CYUCh. 12.6 - Prob. 6CYUCh. 12.6 - Prob. 7CYUCh. 12.6 - Prob. 8CYUCh. 12.6 - Prob. 9CYUCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14PPSCh. 12.6 - Prob. 15PPSCh. 12.6 - Prob. 16PPSCh. 12.6 - Prob. 17PPSCh. 12.6 - Prob. 18PPSCh. 12.6 - Prob. 19PPSCh. 12.6 - Prob. 20PPSCh. 12.6 - Prob. 21PPSCh. 12.6 - Prob. 22PPSCh. 12.6 - Prob. 23PPSCh. 12.6 - Prob. 24PPSCh. 12.6 - Prob. 25PPSCh. 12.6 - Prob. 26PPSCh. 12.6 - Prob. 27PPSCh. 12.6 - Prob. 28PPSCh. 12.6 - Prob. 29PPSCh. 12.6 - Prob. 30PPSCh. 12.6 - Prob. 31PPSCh. 12.6 - Prob. 32PPSCh. 12.6 - Prob. 33PPSCh. 12.6 - Prob. 34PPSCh. 12.6 - Prob. 35PPSCh. 12.6 - Prob. 36PPSCh. 12.6 - Prob. 37PPSCh. 12.6 - Prob. 38PPSCh. 12.6 - Prob. 39PPSCh. 12.6 - Prob. 40PPSCh. 12.6 - Prob. 41PPSCh. 12.6 - Prob. 42PPSCh. 12.6 - Prob. 43PPSCh. 12.6 - Prob. 44PPSCh. 12.6 - Prob. 45HPCh. 12.6 - Prob. 46HPCh. 12.6 - Prob. 47HPCh. 12.6 - Prob. 48HPCh. 12.6 - Prob. 49STPCh. 12.6 - Prob. 50STPCh. 12.6 - Prob. 51STPCh. 12.6 - Prob. 52STPCh. 12.6 - Prob. 53SPRCh. 12.6 - Prob. 54SPRCh. 12.6 - Prob. 55SPRCh. 12.6 - Prob. 56SPRCh. 12.6 - Prob. 57SPRCh. 12.6 - Prob. 58SPRCh. 12.6 - Prob. 59SPRCh. 12.6 - Prob. 60SPRCh. 12.6 - Prob. 61SPRCh. 12.6 - Prob. 62SRCh. 12.6 - Prob. 63SRCh. 12.6 - Prob. 64SRCh. 12.6 - Prob. 65SRCh. 12.7 - Prob. 1ACYPCh. 12.7 - Prob. 1BCYPCh. 12.7 - Prob. 1CCYPCh. 12.7 - Prob. 2CYPCh. 12.7 - Prob. 3ACYPCh. 12.7 - Prob. 3BCYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5CYUCh. 12.7 - Prob. 6CYUCh. 12.7 - Prob. 7CYUCh. 12.7 - Prob. 8CYUCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15PPSCh. 12.7 - Prob. 16PPSCh. 12.7 - Prob. 17PPSCh. 12.7 - Prob. 18PPSCh. 12.7 - Prob. 19PPSCh. 12.7 - Prob. 20PPSCh. 12.7 - Prob. 21PPSCh. 12.7 - Prob. 22PPSCh. 12.7 - Prob. 23PPSCh. 12.7 - Prob. 24HPCh. 12.7 - Prob. 25HPCh. 12.7 - Prob. 26HPCh. 12.7 - Prob. 27HPCh. 12.7 - Prob. 28HPCh. 12.7 - Prob. 29HPCh. 12.7 - Prob. 30HPCh. 12.7 - Prob. 31STPCh. 12.7 - Prob. 32STPCh. 12.7 - Prob. 33STPCh. 12.7 - Prob. 34STPCh. 12.7 - Prob. 35SPRCh. 12.7 - Prob. 36SPRCh. 12.7 - Prob. 37SPRCh. 12.7 - Prob. 38SPRCh. 12.7 - Prob. 39SPRCh. 12.7 - Prob. 40SPRCh. 12.7 - Prob. 41SPRCh. 12.7 - Prob. 42SPRCh. 12.7 - Prob. 43SRCh. 12.7 - Prob. 44SRCh. 12.7 - Prob. 45SRCh. 12.8 - Prob. 1ACYPCh. 12.8 - Prob. 1BCYPCh. 12.8 - Prob. 2CYPCh. 12.8 - Prob. 3CYPCh. 12.8 - Prob. 1CYUCh. 12.8 - Prob. 2CYUCh. 12.8 - Prob. 3CYUCh. 12.8 - Prob. 4CYUCh. 12.8 - Prob. 5CYUCh. 12.8 - Prob. 6PPSCh. 12.8 - Prob. 7PPSCh. 12.8 - Prob. 8PPSCh. 12.8 - Prob. 9PPSCh. 12.8 - Prob. 10PPSCh. 12.8 - Prob. 11PPSCh. 12.8 - Prob. 12PPSCh. 12.8 - Prob. 13PPSCh. 12.8 - Prob. 14PPSCh. 12.8 - Prob. 15PPSCh. 12.8 - Prob. 16PPSCh. 12.8 - Prob. 17PPSCh. 12.8 - Prob. 18PPSCh. 12.8 - Prob. 19PPSCh. 12.8 - Prob. 20PPSCh. 12.8 - Prob. 21PPSCh. 12.8 - Prob. 22PPSCh. 12.8 - Prob. 23PPSCh. 12.8 - Prob. 24PPSCh. 12.8 - Prob. 25PPSCh. 12.8 - Prob. 26PPSCh. 12.8 - Prob. 27HPCh. 12.8 - Prob. 28HPCh. 12.8 - Prob. 29HPCh. 12.8 - Prob. 30HPCh. 12.8 - Prob. 31HPCh. 12.8 - Prob. 32HPCh. 12.8 - Prob. 33STPCh. 12.8 - Prob. 34STPCh. 12.8 - Prob. 35STPCh. 12.8 - Prob. 36STPCh. 12.8 - Prob. 37SPRCh. 12.8 - Prob. 38SPRCh. 12.8 - Prob. 39SPRCh. 12.8 - Prob. 40SPRCh. 12.8 - Prob. 41SPRCh. 12.8 - Prob. 42SPRCh. 12.8 - Prob. 43SPRCh. 12.8 - Prob. 44SRCh. 12.8 - Prob. 45SRCh. 12.8 - Prob. 46SRCh. 12.8 - Prob. 47SRCh. 12 - Prob. 1GRFCCh. 12 - Prob. 2GRFCCh. 12 - Prob. 3GRFCCh. 12 - Prob. 4GRFCCh. 12 - Prob. 5GRFCCh. 12 - Prob. 6GRFCCh. 12 - Prob. 7GRFCCh. 12 - Prob. 8GRFCCh. 12 - Prob. 9GRFCCh. 12 - Prob. 10GRFCCh. 12 - Prob. 11GRFCCh. 12 - Prob. 12GRFCCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 16MCQCh. 12 - Prob. 17MCQCh. 12 - Prob. 18MCQCh. 12 - Prob. 19MCQCh. 12 - Prob. 20MCQCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 37SGRCh. 12 - Prob. 38SGRCh. 12 - Prob. 39SGRCh. 12 - Prob. 40SGRCh. 12 - Prob. 41SGRCh. 12 - Prob. 42SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 1PSTCh. 12 - Prob. 2PSTCh. 12 - Prob. 3PSTCh. 12 - Prob. 4PSTCh. 12 - Prob. 5PSTCh. 12 - Prob. 6PSTCh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STP
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