The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:
6w³ cubic units.
<h3>How to obtain the volume of a rectangular prism?</h3>A rectangular prism is composed by three dimensions, given as follows:
The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:
V = lwh.
From the image given at the end of the answer, the dimensions of the prism are given as follows:
Hence the expression that gives the volume of the rectangular prism is given as follows:
V = w x 2w x 3w = 6w³ cubic units.
<h3>Missing Information</h3>The prism is given by the image shown at the end of the answer.
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ANSWER
EXPLANATION
The problem represents a geometric progression.
The general form of a geometric sequence is:
where a = first term
r = common ratio
The first term from the table is the first price (for the first month). That is $80.00
To find the common ratio, we divide a term by its preceeding term.
Let us divide the price of the second month from the first.
We have:
The price after the 8th month is the value of a(n) when n = 8
So, we have that: