SOLUTION: 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 bo

Algebra ->  Surface-area -> SOLUTION: 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 bo      Log On


   



Question 1136623: 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.

Found 2 solutions by Saffana, ikleyn:
Answer by Saffana(5) About Me  (Show Source):
You can put this solution on YOUR website!
5%2A%286%2F5%29=6
10%2A%286%2F5%29=12
12*6=72
Volume of dilated prism = 72ft%5E3

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
". . . dilated . . . " means "all measurements are increased by the factor of 6%2F5 ".


Then the volume is increased by the factor of  %286%2F5%29%5E3 = 216%2F125.


The volume of the dilated prism is  %285%2A10%29%2A%286%2F5%29%5E3 = %285%2A10%29%2A%28216%2F125%29 = 86.4 cubic feet.

Ignore the answer and the solution by @Saffana, since they both are incorrect.