Building a 3-Sided Pyramid with 1,050,000 Marbles

  • Context: High School 
  • Thread starter Thread starter Derivative86
  • Start date Start date
  • Tags Tags
    Building Pyramid
Click For Summary
SUMMARY

The discussion centers on constructing a tetrahedron using 1,050,000 marbles, with each level of the pyramid measuring 2 cm in height. The tetrahedron's height can be calculated based on the number of marbles used at each level. The formula for the number of marbles in a tetrahedron is given by the equation n(n+1)(n+2)/6, where n is the number of levels. This leads to a definitive height calculation for the pyramid based on the total number of marbles available.

PREREQUISITES
  • Tetrahedral geometry
  • Mathematical series and summation
  • Basic algebra
  • Understanding of volume and height relationships
NEXT STEPS
  • Research the formula for tetrahedral numbers
  • Learn about geometric stacking principles
  • Explore mathematical modeling of 3D shapes
  • Investigate practical applications of tetrahedral structures
USEFUL FOR

Mathematicians, educators, students in geometry, and anyone interested in geometric constructions and mathematical modeling.

Derivative86
Messages
26
Reaction score
0
There are 1,050,000 marbles. If the marbles are used to stack into a 3-sided pyramid, and every level of the pyramid is 2 cm high. How many centimeters tall can the pyramid get?
 
Mathematics news on Phys.org

Similar threads

  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 12 ·
Replies
12
Views
5K
  • · Replies 5 ·
Replies
5
Views
3K