Part 3: The Space Inside! Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the
volume formula Explain how both methods provide the same measurement of volume for the shipping box. Let's ship. You are done! Penny and her classmates thank you.
2 answers:
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Answer:
(5, -1)
Step-by-step explanation:
The three coordinates of a triangle are given as:
(5,3), (-5,3), (-5,-1).
To find:
The missing vertex = ?
Solution:
Let us label the vertices:
A (5,3),
B(-5,3),
C(-5,-1).
Let the missing vertex be ().
Let us recall the properties of a rectangle.
The <em>opposite sides</em> of the rectangle are equal and parallel to each other.
Let us consider the side AB, we can see that only x coordinate is changed from A to B.
Let us consider the side BC, we can see that only y coordinate is changed from B to C.
A and B are adjacent vertices.
Similarly the opposite vertices will be C and D.
Same pattern will be followed in CD as that of AB.
x coordinate will be changed by same difference as that of AB.
Change in x coordinate from D to C =
Change in x coordinate from A to B =
Equating them:
Same pattern is followed in BC and AD.
Their change in y coordinate will be same.
Missing vertex is <em>(5, -1)</em>.
Please refer to the attached image for the rectangle.
