A rectangular prism is a polyhedron with six rectangular faces. To fully define a rectangular prism, one must know its length, width and height. The volume of a rectangular prism is expressed as the product of its dimensions - length, width and height. To calculate for its width, we use the volume formula.
V = l x w x h
From the given, we have:
l = 3w
h = 2 + w
V = 135 ft^3
Substituting the given expressions,
135 ft^3 = 3w (w) (2+w)
135 ft^3 = 6w^2 + 3w^3
Solving for w, we obtain the following values:
w1= 3
w2 = 2.5 + 2.96i
w3 = 2.5 - 22.96i
Since width should not have a negative value, the value of w should be 3 ft.
540 - [(180 - 86) + (180 - 76) + (180 - 41) + 9180 - 98) ]
= 540 - (94 + 104 + 139 + 82)
= 540 - 419
= 121
x = 180 - 212
x = 59
The slope of line "v" is 
<h3><u>Solution:</u></h3>
Given that Line w and line v are perpendicular to each other
Also given that line w passes through the points ( -4, 8 ) and ( 12, -2 )
To find: slope of line v
Since line w and line v are perpendicular to each other, product of slopes of line w and line v are equal to -1
---- eqn 1
Let us first find slope of line w
<em><u>The slope "m" of a line is given as:</u></em>
Thus the slope of line "w" is 
Substituting the slope of w in eqn 1 we get,
Thus the slope of line "v" is
104 divided by 12 is 8.6666666667
So if you round up it would be 9 but technically he could only get 8 fence posts from 104 inches of lumber if he needed 12 inches for each fence post.
The answer is 8 fence posts.
