
3D Path Counting Concepts

Interactive Video
•
Mathematics
•
7th - 12th Grade
•
Hard
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal in the 3D path counting problem using a 3x3 cube?
To identify the center of the cube.
To determine the volume of the cube.
To calculate the number of different paths from the back left top cube to the front bottom right cube.
To find the shortest path between two points.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which movements are allowed in the 3D path counting problem?
Diagonal, backward, and left.
Forward, downward, and right.
Upward, backward, and right.
Backward, upward, and left.
Tags
CCSS.6.G.A.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the cube visualized to simplify the path counting problem?
By separating it into layers.
By coloring each face differently.
By rotating it to view from different angles.
By dividing it into smaller cubes.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the magenta, mauve, and orange layers in the visualization?
They are used to mark the start and end points.
They indicate the difficulty level of the paths.
They help in visualizing the cube as separate layers for easier path calculation.
They represent different colors of the cube.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the path counting problem, how do you determine the number of ways to reach a specific cell?
By counting the number of steps taken.
By adding the number of ways to reach the adjacent cells.
By multiplying the number of paths from the start.
By subtracting the paths that loop back.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the concept of layers help in solving the 3D path counting problem?
It reduces the problem to a 2D path counting problem.
It allows for easier visualization and calculation of paths.
It increases the complexity of the problem.
It helps in identifying the shortest path.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final number of ways to reach the target cell in the 3x3x3 cube?
120
90
60
150
Tags
CCSS.HSA.APR.C.5
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