Carmen has 18 connecting cubes. She wants to model a house shaped like a rectangle. If the model has a height of one connecting cube, how many different ways  can Carmen model the house using all 18 connecting cubes?

a. What do you need to know?

b. How is finding the number of ways to model a rectangular house related to finding factor pairs?

c. Why is finding the factor pairs only the first step in solving the problem?

d. Show the steps you used to solve the problem.

Complete the sentences. Factor pairs for 18 are ___________________ .

There are ______ different ways Carmen can arrange the cubes to model the house.

Sarah was organizing vocabulary words using index cards. She arranged 40 index cards in the shape of a rectangle on a poster. For 14a–14e, choose Yes or No to  tell whether a possible arrangement of cards is shown.

a. 4 rows of 10 cards

b. 6 rows of 8 cards

c. 20 rows of 2 cards

d. 40 rows of 1 card

e. 35 rows of 5 cards