Thread: Finding the volume of parallelopiped

I am having problems finding the Volume of a parallelepiped (prism) the known elements are its base that is a parallelogram which values are 8 and 2 and the angle of the parallelogram is 60 degrees and the big Diagonal is 10..
I am sorry for my bad english because i dont know the proper names of the shapes

Originally Posted by leart369

I am having problems finding the Volume of a parallelepiped (prism) the known elements are its base that is a parallelogram which values are 8 and 2 and the angle of the parallelogram is 60 degrees and the big Diagonal is 10..
I am sorry for my bad english because i dont know the proper names of the shapes

something is not quite correct with your problem statement ... a parallelogram with adjacent side lengths of 2 and 8 must have diagonals (both) of length less than 10.

note the triangle inequality ... the sum of any two sides of a triangle must be greater than the length of the third side.

the diagonal which value is 10 is from bottom to the top (from one point of the first base to the opposite point on the second base)

Originally Posted by leart369

the diagonal which value is 10 is from bottom to the top (from one point of the first base to the opposite point on the second base)

using the diagram shown, let AE = 2 and AG = 8 ... which "diagonal" is 10 ?

Originally Posted by skeeter

using the diagram shown, let AE = 2 and AG = 8 ... which "diagonal" is 10 ?

volume of a parallelopiped is area of one base x height ( perpendicular distance between base and opposite face).There is sufficient info to calculate ti in this problem ( length of long diagonal is not required whatever it may be)

Originally Posted by bjhopper

volume of a parallelopiped is area of one base x height ( perpendicular distance between base and opposite face).There is sufficient info to calculate ti in this problem ( length of long diagonal is not required whatever it may be)

unfortunately, this measurement is not mentioned in the OP ...

the known elements are its base that is a parallelogram which values are 8 and 2 and the angle of the parallelogram is 60 degrees and the big Diagonal is 10

Originally Posted by leart369

I am having problems finding the Volume of a parallelepiped (prism) the known elements are its base that is a parallelogram which values are 8 and 2 and the angle of the parallelogram is 60 degrees and the big Diagonal is 10..
I am sorry for my bad english because i dont know the proper names of the shapes

The bad news first: This question can't be solved. There is at least one value missing.

I've attached a sketch showing 3 different parallelepipeds which all satisfy the given conditions.

I found out today that this is really unsolveable asking some proffesors and contacting the person who wrote that book with that problem. So thanks to all that you tried to help me!