Answer :
Answer:
The volume of the larger prims is eight times greater than the smaller prism.
Step-by-step explanation:
If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.
We know the a triangular prims has a volume defined by
[tex]V_{small} =\frac{b \times h_{1} }{2} \times h_{2}[/tex]
If we take that formula as the smaller prism, then the larer prism has a volum of
[tex]V_{large} =\frac{2b \times 2h_{1} }{2} \times 2h_{2}=8(\frac{b \times h_{1} \times h_{2} }{2} )[/tex]
If we compare, we can deduct that
[tex]V_{large}=8V_{small}[/tex]
In words, the volume of the larger prims is eight times greater than the smaller prism.