Judith has two closed rectangular prism recycling bins. The dimensions of the second recycle bin are one-fifth of the dimensions of the first recycle bin. Which statement is true about the surface area of the second recycle bin?
Answer

It is one-twenty fifth of the surface area of the first recycle bin.

It is one-thirty fifth of the surface area of the first recycle bin.

It is one-forty fifth of the surface area of the first recycle bin.

It is one-fifty fifth of the surface area of the first recycle bin.

Question

Judith has two closed rectangular prism recycling bins. The dimensions of the second recycle bin are one-fifth of the dimensions of the first recycle bin. Which statement is true about the surface area of the second recycle bin?
Answer
		
It is one-twenty fifth of the surface area of the first recycle bin.
		
It is one-thirty fifth of the surface area of the first recycle bin.
		
It is one-forty fifth of the surface area of the first recycle bin.
		
It is one-fifty fifth of the surface area of the first recycle bin.

directrix · Answer

It is one-twenty fifth of the surface area of the first recycle bin.
because ..

directrix · Answer

... the square of the ratio of the scale factor = the ratio of the surface areas.

(1/5)^2 = 1/25

anonymous · Answer

thank-you!