Question:
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .
What is the volume of the dilated prism?
Enter your answer, as a decimal, in the box.
Answer:
The volume of the dilated prism is 
Explanation:
A prism with a base area of 8 cm² and a height of 6 cm
The volume of the prism can be determined by the formula, 
Volume of the prism is given by



Thus, the volume of the prism is 
It is also given that the volume of the dilated prism is dilated by a factor of 
Hence, the new volume is given by




Thus, the volume of the dilated prism is 
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Step-by-step explanation:
Part 1) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 2) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 3) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

substitute the values





Part 4) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 5) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem
