We are given the diagram of two pyramids, 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 cones are similar, we will calculate the ratio between corresponding lengths.
Ratio
Substitute
Simplify
Length of base of the bigger pyramid/Length of base of the smaller pyramid
10/5
2
Width of base of the bigger pyramid/Width of base of the smaller pyramid
10/5
2
Height of the bigger pyramid/Height of the smaller pyramid
12/6
2
Slant height of the bigger pyramid/Slant height of the smaller pyramid
13/6.5
2
The ratio between corresponding lengths is 2. Therefore, the pyramids are similar.
