how many different rectangular prisms with a volume of 11cubic centimetre can you build with centimetre cubes? explain.
WRONG
To find out how many different rectangular prisms with a volume of 11 cubic centimeters you can build with centimeter cubes, we need to consider the dimensions of the rectangular prisms.
A rectangular prism has three dimensions: length, width, and height. Let's consider all the possible combinations of the dimensions that could result in a volume of 11 cubic centimeters.
Since the volume is 11 cubic centimeters, we need to find all the pairings of factors of 11. The factors of 11 are 1 and 11, as 11 is a prime number.
To create a rectangular prism, we can use any combination of these factors as the dimensions. Since there are only two factors of 11 (1 and 11), we can only build two different rectangular prisms with a volume of 11 cubic centimeters:
1) A rectangular prism with dimensions 1cm x 1cm x 11cm.
2) A rectangular prism with dimensions 1cm x 11cm x 1cm.
Therefore, you can build two different rectangular prisms with a volume of 11 cubic centimeters using centimeter cubes.
11 only has two factors: 1 and 11
So, the only rectangle possible is 1x11.