How many different rectangular prisms are in a rectangular prism 24 cm3 .
Hint: what if you sketch it out...
then start by finding the values that make up the 24 cm^3, then use the factors of those values : )
To find the number of different rectangular prisms contained within a larger rectangular prism, we need to consider the factors of the given volume.
In this case, the volume of the larger rectangular prism is 24 cm^3. The factors of 24 are:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
Each of these factor pairs represents a different length and width combination for a rectangular prism that can fit within the larger rectangular prism.
For example, if we take the factor pair 2 x 12, we can construct a rectangular prism with a length of 2 cm, a width of 2 cm, and a height of 12 cm that fits within the given larger rectangular prism.
Therefore, there are four different rectangular prisms that can fit within a rectangular prism with a volume of 24 cm^3.
well, there's
1x1x1: 24
1x1x2: 12
...
Just list all the various factors of 24