EBK NATURE OF MATHEMATICS
EBK NATURE OF MATHEMATICS
13th Edition
ISBN: 9781305855588
Author: SMITH
Publisher: CENGAGE CO
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Chapter 7.CR, Problem 1CR
To determine

(a)

To find:

The number of cubes painted on 4 sides.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

0 cubes.

Explanation of Solution

Calculation:

Given a 4-cm cube painted green is cut into 64 1-cm cubes.

EBK NATURE OF MATHEMATICS, Chapter 7.CR, Problem 1CR , additional homework tip  1

There will be no cube with all 4 sides painted on.

Final statement:

0 cubes will be painted on 4 sides.

To determine

(b)

To find:

The number of cubes painted on 3 sides.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

8 cubes.

Explanation of Solution

Calculation:

EBK NATURE OF MATHEMATICS, Chapter 7.CR, Problem 1CR , additional homework tip  2

From the picture, the cubes painted on 3 sides are the cubes in the corner of the 4-cm cube.

The number of corners is 8.

Hence there are 8 cubes painted on 3 sides.

Final statement:

8 cubes will be painted on 3 sides.

To determine

(c)

To find:

The number of cubes painted on 2 sides.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

24 cubes.

Explanation of Solution

Calculation:

EBK NATURE OF MATHEMATICS, Chapter 7.CR, Problem 1CR , additional homework tip  3

From the picture, the cubes painted on 2 sides are the cubes in the middle of the sides of the 4-cm cube.

There are 2 cubes in each side of the 4-cm cube.

The number of sides is 12.

The number of cubes is 12×2=24.

Hence there are 24 cubes painted on 2 sides.

Final statement:

24 cubes will be painted on 2 sides.

To determine

(d)

To find:

The number of cubes painted on 1 side.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

24 cubes.

Explanation of Solution

Calculation:

EBK NATURE OF MATHEMATICS, Chapter 7.CR, Problem 1CR , additional homework tip  4

From the picture, the cubes painted on 1 side are the cubes in the middle of the faces of the 4-cm cube.

There are 4 cubes in each face of the 4-cm cube.

The number of faces is 6.

The number of cubes is 6×4=24.

Hence there are 24 cubes painted on 1 side.

Final statement:

24 cubes will be painted on 1 side.

To determine

(e)

To find:

The number of cubes painted on 0 sides.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

8 cubes.

Explanation of Solution

Calculation:

Total number of cubes is 64.

The number of cubes painted on 4 sides is 0.

The number of cubes painted on 3 sides is 8.

The number of cubes painted on 2 sides is 24.

The number of cubes painted on 1 side is 24.

Total number of painted cubes 0+8+24+24=56.

The number of cubes painted on 0 sides is 64-56=8.

Final statement:

8 cubes will be painted on 0 sides.

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Chapter 7 Solutions

EBK NATURE OF MATHEMATICS

Ch. 7.1 - Prob. 11PSCh. 7.1 - Prob. 12PSCh. 7.1 - Prob. 13PSCh. 7.1 - Prob. 14PSCh. 7.1 - Prob. 15PSCh. 7.1 - Prob. 16PSCh. 7.1 - Prob. 17PSCh. 7.1 - Prob. 18PSCh. 7.1 - Use the illustration in Figure 7.12 to draw the...Ch. 7.1 - Prob. 20PSCh. 7.1 - Prob. 21PSCh. 7.1 - Prob. 22PSCh. 7.1 - Prob. 23PSCh. 7.1 - Prob. 24PSCh. 7.1 - Prob. 25PSCh. 7.1 - Prob. 26PSCh. 7.1 - Prob. 27PSCh. 7.1 - Carry out the constructions requested in Problems...Ch. 7.1 - Prob. 29PSCh. 7.1 - Prob. 30PSCh. 7.1 - Prob. 31PSCh. 7.1 - Prob. 32PSCh. 7.1 - Prob. 33PSCh. 7.1 - Prob. 34PSCh. 7.1 - Prob. 35PSCh. 7.1 - Prob. 36PSCh. 7.1 - Prob. 37PSCh. 7.1 - Prob. 38PSCh. 7.1 - Prob. 39PSCh. 7.1 - Prob. 40PSCh. 7.1 - Prob. 41PSCh. 7.1 - Prob. 42PSCh. 7.1 - Prob. 43PSCh. 7.1 - Prob. 44PSCh. 7.1 - Prob. 45PSCh. 7.1 - Prob. 46PSCh. 7.1 - Prob. 47PSCh. 7.1 - Prob. 48PSCh. 7.1 - Prob. 49PSCh. 7.1 - Prob. 50PSCh. 7.1 - Prob. 51PSCh. 7.1 - Study the patterns shown in Figure 7.13. When...Ch. 7.1 - Prob. 53PSCh. 7.1 - Prob. 54PSCh. 7.1 - Prob. 55PSCh. 7.1 - Prob. 56PSCh. 7.1 - Prob. 57PSCh. 7.1 - Prob. 58PSCh. 7.1 - The letters of the alphabet can be sorted into the...Ch. 7.1 - Prob. 60PSCh. 7.2 - Prob. 1PSCh. 7.2 - Prob. 2PSCh. 7.2 - Prob. 3PSCh. 7.2 - Prob. 4PSCh. 7.2 - Prob. 5PSCh. 7.2 - Prob. 6PSCh. 7.2 - Prob. 7PSCh. 7.2 - Prob. 8PSCh. 7.2 - Prob. 9PSCh. 7.2 - Prob. 10PSCh. 7.2 - Prob. 11PSCh. 7.2 - Prob. 12PSCh. 7.2 - Determine whether each sentence in Problems 11 14...Ch. 7.2 - Prob. 14PSCh. 7.2 - Prob. 15PSCh. 7.2 - Prob. 16PSCh. 7.2 - Prob. 17PSCh. 7.2 - Prob. 18PSCh. 7.2 - Prob. 19PSCh. 7.2 - Prob. 20PSCh. 7.2 - Prob. 21PSCh. 7.2 - Prob. 22PSCh. 7.2 - Prob. 23PSCh. 7.2 - Prob. 24PSCh. 7.2 - In Problems 25 32, classify the pairs of angles...Ch. 7.2 - Prob. 26PSCh. 7.2 - Prob. 27PSCh. 7.2 - Prob. 28PSCh. 7.2 - In Problems 25 32, classify the pairs of angles...Ch. 7.2 - Prob. 30PSCh. 7.2 - Prob. 31PSCh. 7.2 - Prob. 32PSCh. 7.2 - Prob. 33PSCh. 7.2 - Prob. 34PSCh. 7.2 - Prob. 35PSCh. 7.2 - Prob. 36PSCh. 7.2 - Prob. 37PSCh. 7.2 - Prob. 38PSCh. 7.2 - Prob. 39PSCh. 7.2 - Prob. 40PSCh. 7.2 - Prob. 41PSCh. 7.2 - Prob. 42PSCh. 7.2 - Prob. 43PSCh. 7.2 - Prob. 44PSCh. 7.2 - Prob. 45PSCh. 7.2 - Prob. 46PSCh. 7.2 - Prob. 47PSCh. 7.2 - Prob. 48PSCh. 7.2 - Prob. 49PSCh. 7.2 - Prob. 50PSCh. 7.2 - Prob. 51PSCh. 7.2 - In Problems 52 57, find the measures of all the...Ch. 7.2 - Prob. 53PSCh. 7.2 - Prob. 54PSCh. 7.2 - Prob. 55PSCh. 7.2 - Prob. 56PSCh. 7.2 - Prob. 57PSCh. 7.2 - Prob. 58PSCh. 7.2 - Prob. 59PSCh. 7.2 - Historical Quest: Allow me to start you on a...Ch. 7.3 - IN YOUR OWN WORDS What is a triangle?Ch. 7.3 - Prob. 2PSCh. 7.3 - IN YOUR OWN WORDS Explain the notation ABCDEF.Ch. 7.3 - Prob. 4PSCh. 7.3 - Prob. 5PSCh. 7.3 - Prob. 6PSCh. 7.3 - Prob. 7PSCh. 7.3 - Prob. 8PSCh. 7.3 - Prob. 9PSCh. 7.3 - Name the corresponding parts of the triangles in...Ch. 7.3 - In Problems 11-16, find the measure of the third...Ch. 7.3 - Prob. 12PSCh. 7.3 - Prob. 13PSCh. 7.3 - Prob. 14PSCh. 7.3 - Prob. 15PSCh. 7.3 - Prob. 16PSCh. 7.3 - Prob. 17PSCh. 7.3 - Prob. 18PSCh. 7.3 - Prob. 19PSCh. 7.3 - Prob. 20PSCh. 7.3 - Prob. 21PSCh. 7.3 - Prob. 22PSCh. 7.3 - Prob. 23PSCh. 7.3 - Prob. 24PSCh. 7.3 - Prob. 25PSCh. 7.3 - Prob. 26PSCh. 7.3 - Prob. 27PSCh. 7.3 - Prob. 28PSCh. 7.3 - Prob. 29PSCh. 7.3 - Prob. 30PSCh. 7.3 - Prob. 31PSCh. 7.3 - Prob. 32PSCh. 7.3 - Prob. 33PSCh. 7.3 - Prob. 34PSCh. 7.3 - Use algebra to find the value of x in each of the...Ch. 7.3 - Prob. 36PSCh. 7.3 - Prob. 37PSCh. 7.3 - Use algebra to find the value of x in each of the...Ch. 7.3 - Prob. 39PSCh. 7.3 - Prob. 40PSCh. 7.3 - Prob. 41PSCh. 7.3 - Prob. 42PSCh. 7.3 - Prob. 43PSCh. 7.3 - Prob. 44PSCh. 7.3 - Prob. 45PSCh. 7.3 - Prob. 46PSCh. 7.3 - Prob. 47PSCh. 7.3 - Prob. 48PSCh. 7.3 - Prob. 49PSCh. 7.3 - Prob. 50PSCh. 7.3 - Prob. 51PSCh. 7.3 - Prob. 52PSCh. 7.3 - Prob. 53PSCh. 7.3 - Prob. 54PSCh. 7.3 - Prob. 55PSCh. 7.3 - Prob. 56PSCh. 7.3 - The legs of a picnic table form a triangle where...Ch. 7.3 - Prob. 58PSCh. 7.3 - Prob. 59PSCh. 7.3 - Prob. 60PSCh. 7.4 - IN YOUR OWN WORDS Contrast congruent and similar...Ch. 7.4 - Prob. 2PSCh. 7.4 - In Problems 3-8, determine if the triangles are...Ch. 7.4 - Prob. 4PSCh. 7.4 - Prob. 5PSCh. 7.4 - Prob. 6PSCh. 7.4 - Prob. 7PSCh. 7.4 - Prob. 8PSCh. 7.4 - Prob. 9PSCh. 7.4 - Prob. 10PSCh. 7.4 - Prob. 11PSCh. 7.4 - Prob. 12PSCh. 7.4 - Prob. 13PSCh. 7.4 - Prob. 14PSCh. 7.4 - Prob. 15PSCh. 7.4 - Prob. 16PSCh. 7.4 - Prob. 17PSCh. 7.4 - Prob. 18PSCh. 7.4 - Prob. 19PSCh. 7.4 - Prob. 20PSCh. 7.4 - Prob. 21PSCh. 7.4 - Prob. 22PSCh. 7.4 - Prob. 23PSCh. 7.4 - Prob. 24PSCh. 7.4 - Prob. 25PSCh. 7.4 - Prob. 26PSCh. 7.4 - Prob. 27PSCh. 7.4 - Prob. 28PSCh. 7.4 - Prob. 29PSCh. 7.4 - Each figure in Problems 29-34 contains two similar...Ch. 7.4 - Prob. 31PSCh. 7.4 - Prob. 32PSCh. 7.4 - Prob. 33PSCh. 7.4 - Prob. 34PSCh. 7.4 - Prob. 35PSCh. 7.4 - Prob. 36PSCh. 7.4 - Given AC is perpendicular to MB, and ABC is an...Ch. 7.4 - Prob. 38PSCh. 7.4 - Prob. 39PSCh. 7.4 - Prob. 40PSCh. 7.4 - Use similar triangles and a proportion to find the...Ch. 7.4 - Prob. 42PSCh. 7.4 - Prob. 43PSCh. 7.4 - Prob. 44PSCh. 7.4 - Prob. 45PSCh. 7.4 - Prob. 46PSCh. 7.4 - A bell tower casts a shadow 45ft long. At the same...Ch. 7.4 - Prob. 48PSCh. 7.4 - Prob. 49PSCh. 7.4 - Prob. 50PSCh. 7.4 - Prob. 51PSCh. 7.4 - Prob. 52PSCh. 7.4 - Prob. 53PSCh. 7.4 - Prob. 54PSCh. 7.4 - Prob. 55PSCh. 7.4 - Suppose a 6- ft person wishes to determine the...Ch. 7.4 - Prob. 57PSCh. 7.4 - Prob. 58PSCh. 7.4 - Prob. 59PSCh. 7.4 - Prob. 60PSCh. 7.5 - Prob. 1PSCh. 7.5 - Prob. 2PSCh. 7.5 - Prob. 3PSCh. 7.5 - Prob. 4PSCh. 7.5 - Prob. 5PSCh. 7.5 - Prob. 6PSCh. 7.5 - Prob. 7PSCh. 7.5 - Prob. 8PSCh. 7.5 - Prob. 9PSCh. 7.5 - Prob. 10PSCh. 7.5 - Prob. 11PSCh. 7.5 - Prob. 12PSCh. 7.5 - Prob. 13PSCh. 7.5 - Prob. 14PSCh. 7.5 - Prob. 15PSCh. 7.5 - Prob. 16PSCh. 7.5 - Prob. 17PSCh. 7.5 - Prob. 18PSCh. 7.5 - Prob. 19PSCh. 7.5 - Prob. 20PSCh. 7.5 - Prob. 21PSCh. 7.5 - Prob. 22PSCh. 7.5 - Prob. 23PSCh. 7.5 - Prob. 24PSCh. 7.5 - Prob. 25PSCh. 7.5 - Prob. 26PSCh. 7.5 - Prob. 27PSCh. 7.5 - Prob. 28PSCh. 7.5 - Prob. 29PSCh. 7.5 - Prob. 30PSCh. 7.5 - Prob. 31PSCh. 7.5 - Prob. 32PSCh. 7.5 - Prob. 33PSCh. 7.5 - Prob. 34PSCh. 7.5 - Prob. 35PSCh. 7.5 - Prob. 36PSCh. 7.5 - Prob. 37PSCh. 7.5 - Prob. 38PSCh. 7.5 - Prob. 39PSCh. 7.5 - Prob. 40PSCh. 7.5 - Prob. 41PSCh. 7.5 - Prob. 42PSCh. 7.5 - Prob. 43PSCh. 7.5 - Prob. 44PSCh. 7.5 - Prob. 45PSCh. 7.5 - Prob. 46PSCh. 7.5 - Prob. 47PSCh. 7.5 - Level 2 If the angle from the horizontal to the...Ch. 7.5 - Prob. 49PSCh. 7.5 - Prob. 50PSCh. 7.5 - Prob. 51PSCh. 7.5 - Prob. 52PSCh. 7.5 - Prob. 53PSCh. 7.5 - Prob. 54PSCh. 7.5 - Prob. 55PSCh. 7.5 - Prob. 56PSCh. 7.5 - Prob. 57PSCh. 7.5 - Prob. 58PSCh. 7.5 - Prob. 59PSCh. 7.5 - Problem solving Level 3 a. If the distance from...Ch. 7.6 - Prob. 1PSCh. 7.6 - Prob. 2PSCh. 7.6 - Prob. 3PSCh. 7.6 - Prob. 4PSCh. 7.6 - Prob. 5PSCh. 7.6 - Prob. 6PSCh. 7.6 - Prob. 7PSCh. 7.6 - Prob. 8PSCh. 7.6 - Prob. 9PSCh. 7.6 - Prob. 10PSCh. 7.6 - Prob. 11PSCh. 7.6 - Prob. 12PSCh. 7.6 - Name the geometry Euclidean, elliptic, or...Ch. 7.6 - Prob. 14PSCh. 7.6 - Prob. 15PSCh. 7.6 - Prob. 16PSCh. 7.6 - Prob. 17PSCh. 7.6 - Prob. 18PSCh. 7.6 - Prob. 19PSCh. 7.6 - Prob. 20PSCh. 7.6 - Prob. 21PSCh. 7.6 - Prob. 22PSCh. 7.6 - Prob. 23PSCh. 7.6 - Prob. 24PSCh. 7.6 - Prob. 25PSCh. 7.6 - Prob. 26PSCh. 7.6 - Prob. 27PSCh. 7.6 - Prob. 28PSCh. 7.6 - Consider the top, front, and side views as shown...Ch. 7.6 - Prob. 30PSCh. 7.6 - Prob. 31PSCh. 7.6 - Prob. 32PSCh. 7.6 - Prob. 33PSCh. 7.6 - Prob. 34PSCh. 7.6 - Prob. 35PSCh. 7.6 - Prob. 36PSCh. 7.6 - Prob. 37PSCh. 7.6 - Prob. 38PSCh. 7.6 - Prob. 39PSCh. 7.6 - Prob. 40PSCh. 7.6 - Prob. 41PSCh. 7.6 - Prob. 42PSCh. 7.6 - Prob. 43PSCh. 7.6 - Prob. 44PSCh. 7.6 - Prob. 45PSCh. 7.6 - Prob. 46PSCh. 7.6 - Prob. 47PSCh. 7.6 - Prob. 48PSCh. 7.6 - Prob. 49PSCh. 7.6 - Prob. 50PSCh. 7.6 - Prob. 51PSCh. 7.6 - Prob. 52PSCh. 7.6 - Prob. 53PSCh. 7.6 - Prob. 54PSCh. 7.6 - When is an open book a closed book? If the...Ch. 7.6 - Prob. 56PSCh. 7.6 - Prob. 57PSCh. 7.6 - Prob. 58PSCh. 7.6 - Prob. 59PSCh. 7.CR - Prob. 1CRCh. 7.CR - Prob. 2CRCh. 7.CR - Prob. 3CRCh. 7.CR - Prob. 4CRCh. 7.CR - Prob. 5CRCh. 7.CR - Prob. 6CRCh. 7.CR - 7. Bourbon Palace Figure 7.77 is home to the...Ch. 7.CR - Prob. 8CRCh. 7.CR - Prob. 9CRCh. 7.CR - Prob. 10CRCh. 7.CR - Prob. 11CRCh. 7.CR - Prob. 12CRCh. 7.CR - Prob. 13CRCh. 7.CR - Prob. 14CRCh. 7.CR - Prob. 15CRCh. 7.CR - Prob. 16CRCh. 7.CR - Prob. 17CRCh. 7.CR - Prob. 18CRCh. 7.CR - Prob. 19CRCh. 7.CR - Prob. 20CR
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