a. Shawn used small cubes to build a bigger cube that was solid and was three cubes long on each side. He then painted all the facts of the new, large cube red. He dropped the newly painted cube and all the little cubes came apart. He noticed that some cubes had only one face painted, some had two faces painted, and so on. Describe the number of cubes with 0, 1, 2, 3, 4, 5, or 6 faces painted. Have each member of the group choose a different number of faces and then combine your data to see if it makes sense. Look for any patterns that occur.
b. What would the answers be if the large cube was four small cubes long on side?
c. Make a conjecture about how to count the cubes with different number of painted faces if the large cube were n small cubes long on a side.
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th Edition)
Additional Math Textbook Solutions
Introductory Mathematics for Engineering Applications
Mathematical Ideas (13th Edition) - Standalone book
The Heart of Mathematics: An Invitation to Effective Thinking
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forwardSusan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can she make if the plants are comprised of 6 tulips, 6 roses, and 8 daisies?arrow_forwardHector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,