yes
16:1
5:11
The ratios of areas are the squares of the ratio of lengths (and the ratio of volumes are cubes of the ratio of lengths). As the perimeter of the second is twice the perimeter of the first, each length of the second is twice the length of the first, and so the ratio of the lengths is 1:2 Thus the ratio of the areas is 1²:2² = 1:4. Therefore the surface area of the larger prism is four times that of the smaller prism.
If the length ratio is 2:7 then the area ratio would be 4:49, squaring the 2 and the 7.
Since the scale factor of the moon to the earth is 1:4, then the ratio of their areas will be the scale factor squared or 1:16. The ratio of their volumes will be the scale factor cubed or 1:64.
False
false
If the ratio of the lengths of corresponding parts in two similar solids is 51, then the ratio of their surface areas is the square of the ratio of their lengths. Therefore, the ratio of their surface areas is ( 51^2 = 2601 ).
The statement is true.
false - APEX
If two solids are similar, the ratio of their surface areas is the square of the ratio of their corresponding lengths. Given that the ratio of the lengths of their edges is 29, the ratio of their surface areas is (29^2), which equals 841. Thus, the ratio of their surface areas is 841:1.
false
If two solids are similar and the ratio of their edge lengths is ( \frac{2}{9} ), the ratio of their surface areas is the square of the ratio of their corresponding lengths. Therefore, the ratio of their surface areas is ( \left(\frac{2}{9}\right)^2 = \frac{4}{81} ).
7:10
16:1
16:25
7:10