We are given the diagram of two rectangular prisms, where we can see their dimensions.
We want to know if these two solids are similar. Similar solids have the same shape and proportional corresponding dimensions. Therefore, to determine whether the rectangular prisms are similar, we will calculate the ratio between corresponding lengths.
Ratio
Substitute
Simplify
Length of bigger prism/Length of small prism
4/2
2
Width of bigger prism/Width of small prism
2/1
2
Height of bigger prism/Height of small prism
4/4
1
The ratios between corresponding dimensions are not the same. Therefore, the rectangular prisms are not similar.
