SOLUTION: A right rectangular prism with dimensions 2/3in. by 4/3in. by 8/3in. is enlarged by a scale factor of 1 1/2. Q: The surface area of the original prism is __

SOLUTION: A right rectangular prism with dimensions 2/3in. by 4/3in. by 8/3in. is enlarged by a scale factor of 1 1/2. Q: The surface area of the original prism is ___ times as much as t

Question 726739: A right rectangular prism with dimensions 2/3in. by 4/3in. by 8/3in. is enlarged by a scale factor of 1 1/2.
Q: The surface area of the original prism is ___ times as much as the surface area of the larger right rectangular prism.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Such an evil problem! It's trying to trick us two ways.
The shoebox-like prism has a length, L, a width, W, and a height, H, that are all fractional quantities of inches.
However, those numbers do not matter, given the question at the end.
When you enlarge dimensions by a factor of ,
the surface area of a solid changes by a factor of and the volume by a factor of .
That happens because you have to multiply pairs of dimensions to get surface area, so when you multiply each pair, you get an as a factor.
A face that had an area of gets it changed to .
A face that had an area of gets it changed to .
A face that had an area of gets it changed to .

The scale factor was
The dimensions of the large prism are of the dimensions of the small one.
The dimensions of the small prism are = of the dimensions of the large one.

The surface area of the original (smaller) prism is times as much as the surface area of the larger right rectangular prism.
RELATED QUESTIONS
You are designing a container for oatmeal. Your design is a rectangular prism with a... (answered by harpazo,jim_thompson5910)

what is the area of a regular hexagon with an apothem of 8 root... (answered by solver91311)

If you can fit 105 3in cubes in a box that measures 21in by 9in by 15 in, How much... (answered by josgarithmetic)

How do you find the area of a rectangle with these dimensions: 5ft 3in x... (answered by jim_thompson5910)

a window glass is 6ft.3in by 4ft.8in find it's area in square... (answered by Cromlix)

1) Twice a number increased by 12 is equal 31 less then three times the number. Find the... (answered by macston)

The price of a 3in by 5in poster is $6.50. What is the price of a 6in by 10 in poster? (answered by richwmiller)

A blueprint shows a width of 3in .the actual width is 108 in .what is th scale of the... (answered by Cromlix)

Hi! I was wondering the question in my book says you want to draw an enlargment of a... (answered by ankor@dixie-net.com)