At the beginning of this month, the balance of Dillon's checking account was $1000.11. So far this month, he has received a dire
2 answers:
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we know that
In an Arithmetic Sequence the difference between one term and the next is a constant
This problem is an Arithmetic Sequence
where
the first term is
and
the common difference is
In general we can write an Arithmetic Sequence as a rule
where
a1 is the first term
d is the common difference
so
<u>Find the term a7</u>
therefore
<u>the answer is</u>
For a better understanding of the solution, please follow the diagram in the attached file.
A regular quadrilateral is basically a square.
So, if the base of the prism has a perimeter of 60 cm, then the length of the side of the square will be . It is shown of the diagram.
Now, from the diagram, it is clear that the lateral face area, which is given as 105 cm^2, is the product of the side of the square, which is known, and the unknown height, let us call it h. Thus, we will get the following equation:
This is depicted on the diagram.
Now, all our required parameters are in place. Thus, let us find what has been asked.
<u>SURFACE AREA</u>
Surface Area (SA) will be the sum of the areas of the two bases (squares) and the areas of the four lateral faces.
Since the side of one square base is 15 cm, therefore, the area of one square base will be .
Likewise, the area of one lateral surface is actually the area of a rectangle with length 15 cm and height 7 cm. Thus, it's area will be given as: .
Thus, our equation will be:
Therefore, Surface Area=870 cm^2
<u>VOLUME OF THE PRISM</u>
The volume of the prism will simply be the area of the base times the height of the prism.
Thus, the volume is:
