SOLUTION: A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches. Which could be the lengths of the diagonals of the rhombus?

Algebra ->  Surface-area -> SOLUTION: A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches. Which could be the lengths of the diagonals of the rhombus?       Log On


   

Question 1062290: A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.
Which could be the lengths of the diagonals of the rhombus?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of the prism = 144 cubic inches
height = 6 inches
area of base (rhombus =+volume%2Fheight
= +144%2F6
= +24+in%5E2
let d1, d2 be the diagonals
area of rhombus = %281%2F2%29%2A+d1%2Ad2
%281%2F2%29%2A+d1%2Ad2+=+24
+d1%2Ad2++=+48
possible lengths of diagonals are 8 in x 6 inch
or
12 in x 4 in
or
24 in x 2 in
or
16 in 3 in