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

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

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

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

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

Question

Rae has two closed rectangular prism recycling bins. The dimensions of the second recycle bin are one-fourth of the dimensions of the first recycle bin. Which statement is true about the surface area of the second recycle bin?

 It is one-eighth of the surface area of the first recycle bin.

 It is one-fourth of the surface area of the first recycle bin.

 It is one-half of the surface area of the first recycle bin.

 It is one-sixteenth of the surface area of the first recycle bin.

cwrw238 · Answer

ratio of the  areas = ratio of SQUARES  of the dimensions
so area of  first : second =  its 1^2 : (1/4)^2