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The number of points of intersection between the rectangle and hexagon is = 4
<h3>What is point of intersection?</h3>
The point of intersection between two or more lines is where the lines met at a particular plane. The point of intersection an equally be referred to as the vertex.
A rectangle is a quadrilateral because it's made up of four sides of which the two sides which are opposite, are equal and parallel.
A triangle is a polygon that is made up of three lines that meet to form edges and angles.
A hexagon is a polygon that is made up of six sides and six angles.
From the attached image, the rectangle which has four sides, made an intersection with the hexagon at four points which are marked with an asterisk.
Learn more about quadrilaterals here:
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Answer:
466 
Step-by-step explanation:
Ok to solve this problem we need to find the volume of the rectangular prism and subtract the volume of the cube from it.
The volume of the rectangular prism is Length * Width * Height.
L = 15
W = 9
H = 4
15 * 9 * 4 = 530 
The volume of the cube is 
= 4
4^3 = 64
530-64 = 466 cm^3
Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343