There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)
2 answers:
9514 1404 393
Answer:
A. (3, 2)
Step-by-step explanation:
The midpoints of the diagonals are the same point, so you have ...
X = (A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . multiply by 2
A +C -B = D . . . . . . . subtract B
The coordinates of D are ...
D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)
D = (3, 2)
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Answer:
Part 1) The volume of the prism is 3 times greater than the volume of the pyramid
Part 2) The prism would fill only one-third
Part 3) The cylinder and the cone
Step-by-step explanation:
Part 1) How do their volumes compare?
we know that
The volume of a rectangular prism is equal to
where
B is the area of the base of rectangular prism
H is the height of the prism
The volume of a rectangular pyramid is equal to
where
B is the area of the base of rectangular pyramid
H is the height of the pyramid
Compare the volumes
-----> equation A
-----> equation B
substitute equation A in equation B
The volume of the prism is 3 times greater than the volume of the pyramid
Part 2) If the pyramid was full of water, how much of the prism would it fill up?
Remember that
therefore
The prism would fill only one-third
Part 3) Name another pair of three-dimensional objects that have a relationship similar to this
we have the cylinder and the cone
The volume of the cylinder is equal to
The volume of the cone is equal to
Compare the volumes
The volume of the cylinder is 3 times greater than the volume of the cone