Blog Assignment #6 is due April 30th!
ABC Toy Company is planning to market a set of children’s blocks. The package of blocks will contain 26 letter blocks, 10 number blocks, and 12 animal blocks for a total of 48 blocks in the package. Each block is a cube with 1-inch edges, so each block has a volume of 1 cubic inch.
The company wants to arrange the 48 blocks in the shape of a rectangular prism and then package them into a box that exactly fits the prism.
1. Find ALL the ways 48 cubes can be arranged into a rectangular prism.
a. How many ways are there to arrange the 48 cubes?
b. What are the dimensions (length, width, and height) of each rectangular prism?
2. Of the rectangular prisms you found, which one gives the least surface area?
a. Give the dimensions of this prism.
b. What is the surface area of this rectangular prism?
3. Explain why the ABC Toy Company needs to package the blocks using the rectangular prism that gives the smallest surface area.
A gentle reminder:
Assignment - In your comment remember to include the following:
* your name (first name and last initial)
* your class
* the answer to the problem and all of its parts
* an explanation that includes the strategy you used to solve.
* is there another way to solve the problem?* any additional thoughts you have about the problem(s)
*** Please be sure to comment on Blog Assignment #6 so that your assignment is not lost on other posts! ***
Remember when you "publish the comment" it will not appear on the Blog until it is past the due date AND Ms. Saarinen has a chance to read and approve it.
