Question

An office and apartment building is made up of modules. Each module is a rectangular

prism. The building has 130 modules, and is 13 stories high.


If all of the modules were divided evenly among the number of stories, how many modules


would be on each floor?


How many different rectangular prisms could be made from that number?


If all of the modules were divided evenly there would be 10


modules on each floor.


different rectangular prisms could be made from the number of modules on each


Three


floor:


I


x 1 x 1 and 2 x


* 1.

Answer 1

(a)10 modules per floor

(b)Two different rectangular prism

Explanation:

Part A

Number of modules=130

Number of stories=13

Since all of the modules were divided evenly among the number of stories:

Number of module per floor =130÷13=10 modules per floor

There would be 10 modules on each floor.

Part B

Next, we determine how many different rectangular prisms could be made from the number 10 derived above.

Step 1: List the factors of 10

Factors of 10 are: 1,2,5 and 10

Step 2:

Form a product of three terms which equals 10 using the factors derived above. We have two possible combinations:

• 10×1×1
• 2×5×1

Therefore, two different rectangular prisms could be made from the number of modules on each floor.