Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which also added up.
What values may the resulting sum have?
What values may the resulting sum have?
Correct answer:
You need to know the following knowledge to solve this word math problem:
- algebra
- arithmetic progression
- arithmetic
- addition
- solid geometry
- surface area
- planimetrics
- polygon
- basic functions
- reason
- numbers
- natural numbers
Units of physical quantities:
Themes, topics:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Meridian ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground? - Flower shop
In a flower shop, a bunch containing 3 tulips, 2 roses, and 1 daffodil cost $10.79. A different bunch containing 1 tulip, 2 roses, and 3 daffodils costs $10.13. A tulip costs 35 cents more than a rose. How much does 1 tulip and 1 rose, and 1 daffodil cost
- Triangular 81985
Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - Arithmetic 81795
In which arithmetic sequence is S5=S6=60? - AP with variables
What is the second member in the arithmetic sequence with 7 terms, whose first and last terms are x+2y and 7x-4y - Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity?
- What is 24
What is the sum of numbers between 20 and 40? - The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference. - Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y. - AP Formula
Use the Arithmetic Sequence Formula to find the 120th term of this sequence: 3, 6, 9, 12, 15, 18, ... - The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers.