Concept explainers
(a)
To prepare: A tower using the centimeter cubes.
(a)
Answer to Problem 63PPS
The tower using the centimeter cubes is shown below.
Explanation of Solution
The tower can be built by placing the centimeter cubes over on another.
(b)
To find: The table of the component.
(b)
Explanation of Solution
Consider the objective is to complete the following table. The table is shown below in figure-(1)
layers | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Cubes | 4 | 8 | 12 | 16 | 20 | 24 | 28 |
Figure −(1)
The table is shown in figure -(1).
(c)
To find: The number of cubes changes.
(c)
Answer to Problem 63PPS
The number of cubes changes by 4.
Explanation of Solution
Consider the number of layers.
As the number of layers increased by
Therefore, the number of cubes changes by 4.
(d)
To find: The expression to show the relation between the numbers of cubes and the number of layers.
(d)
Answer to Problem 63PPS
The relation between the numbers of cubes and the number of layers can be expressed as
Explanation of Solution
Calculate:
Let the number of cubes is
As the number of layers increased by
Therefore, the relation between the numbers of cubes and the number of layers can be expressed as
Chapter 1 Solutions
Algebra 1
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