Rosa has 16 unit cubes. How many different rectangular prisms can she build with the cubes?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

31
CW Share
Apr 3, 2017

Answer:

#4#

Explanation:

Since the rectangular prism is formed by the unit cubes, each dimension of the prism must be a whole number of cubes.

Given that Rosa has #16# unit cubes, so we need to find the total number of different combinations of three whole number that have a product of #16#.

To find these combinations, look at the factors of #16#.
They are #1,2,4,8 and 16#.

Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is #16#

There are #4# combinations that will work :
#1xx1xx16#
#1xx2xx8#
#1xx4xx4#
#2xx2xx4#

Hence, Rosa can build 4 different rectangular prisms with 16 unit cubes.

enter image source here

Was this helpful? Let the contributor know!
1500
Impact of this question
3773 views around the world
You can reuse this answer
Creative Commons License