A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 . What is the volume of the dilated prism? Enter your answer, as a decimal, in the box.
Question
Answer:
First, you must find the original volume of the prism by applying the following formula:V1=HxB
V1 is the original volume of the prism.
H is the height of the prism (H=10 ft).
B is the base are of the prism (B=5 ft2)
So, the original volume is:
V1=HxB
V1=(10 ft)(5 ft2)
V1=50 ft2
When the prism is dilated by a factor of 6/5, its volume is:
V2=(V1)*(6/5)^3
V2=(50 ft³)*(6/5)^3
V2= 86.4 ft³
What is the volume of the dilated prism?
The answer is: 86.4 ft³
solved
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