PIR - Pyramids

Recently in Farland, a country in Asia, the famous scientist Mr. Log Archeo discovered ancient pyramids. But unlike those in Egypt and Central America, they have a triangular (not rectangular) foundation. That is, they are tetrahedrons in the mathematical sense. In order to find out some important facts about the early society of the country (it is widely believed that the pyramid sizes are closely connected with Farland's ancient calendar), Mr. Archeo needs to know the volume of the pyramids. Unluckily, he has reliable data about their edge lengths only. Please, help him!


t [number of tests to follow] In each of the next t lines six positive integer numbers not exceeding 1000 separated by spaces (each number is one of the edge lengths of the pyramid ABCD). The order of the edges is the following: AB, AC, AD, BC, BD, CD.


For each test output a real number - the volume, printed accurate to four digits after decimal point.


1 1 1 1 1 1
1000 1000 1000 3 4 5


hide comments
shubhamshree10: 2018-05-26 16:24:08

Calculate volume using area of faces

find area of individual faces by heron's formula:D

Last edit: 2018-05-26 16:28:38
mayankdhyani: 2018-04-10 14:33:44

What is the formula for finding the volume and surface area of tertahedron ?

dsri_99: 2017-12-18 15:41:21

works for even 1999.9947.My 25th!!!!!!!!!!!!!!

harsh_03: 2017-12-12 22:19:15

WA for 1999.9947 and newline ???

Sushant Moon: 2017-10-03 04:58:11

Following the comments, solving it now it looks like the test cases have been strengthen and approximate formulas for calculating the volume won't work.

vinodjatav: 2017-08-19 12:10:48

i do not understand this question

nadstratosfer: 2017-08-05 06:39:17

Many bloody tears were shed trying to get past the WA. Turns out the input file indeed contains valid pyramid dimensions only (volume will not be a complex number), but DO pay attention to variable order. Test case that helped greatly:
100 99 98 97 96 95

d_y1997: 2017-06-09 10:17:18

sample testcase passed in terminal , but on submitting shows wrong on the very first case

rishi_devan: 2017-05-02 01:50:49

All sides can be stored as int
The sample test cases are correct

weathervane: 2017-03-11 21:46:01

Interestingly, the question setter posted the problem a few days after posting the more difficult problem TETRA. Note about previous comment which says "Use doubles for input. Test cases contain decimal inputs." The question clearly says "six positive integer numbers". So there are no decimal inputs. There can't be, my answer was accepted.

Last edit: 2017-03-11 22:04:56

Added by:Adam Dzedzej
Time limit:1s
Source limit:10000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:ACM ICPC 2002-2003 NEERC, Northern Subregion