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What is the similarity ratio of a prism with surface area 361 ft2 to a similar prism with surface area 81 ft2?
The ratio is 19/9.
If the similarity ratio of two similar octagons is 3 to 5 what is the ratio of the areas of the octagons?
9:25
What is the ratio of Two similar trapezoids that have areas of 49cm2 and 9 cm2 find their similarity ratio?
7:3
Two triangles are similar and have a ratio of similarity of 3 1 What is the ratio of their perimeters and the ratio of their areas?
The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)
What is the volume of the larger of two similar rectangular prisms if the smaller prism has a volume of 24 cu cm and a base of 4 cm while the larger prism has a base of 12 cm?
As the two prisms are similar there are ratios between them. The ratio of the lengths is 4 : 12 = 1 : 3 The ratio of volumes is the cubs of the ratio of lengths. → The volumes are in the ratio of 1³ : 3² = 1 : 27 As the a smaller prism has a volume of 24 cm³, the larger prism has a volume 27 times larger → volume larger prism = 27 × 24 cm³ = 648 cm³
What is the similarity ratio of a prism with surface area 361 ft2 to a similar prism with surface area 81 ft2?
The ratio is 19/9.
What is the ratio of Two triangles that are similar and have a ratio of similarity of 310 what is the ratio of their areas?
If the ratio of similarity is 310, then the ratio of their area is 96100.
How do you find the similarity ratios of two similar prisms?
Measure any two corresponding edges. The ratio of these edges is the similarity ratio.
How do you find the volume of a similar prism with only the scale factor and volume of the other prism?
The ratio of the volumes of similar solids is (the ratio of their linear dimensions)3 .
If the similarity ratio of two similar octagons is 3 to 5 what is the ratio of the areas of the octagons?
9:25
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?
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.
How do the dimensions and volume of similar rectangular prisms compare?
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
What is the ratio of Two similar trapezoids that have areas of 49cm2 and 9 cm2 find their similarity ratio?
7:3
What is the similarity ratio of 4 to 16?
The similarity ratio is 1:4.
Two triangles are similar and have a ratio of similarity of 3 1 What is the ratio of their perimeters and the ratio of their areas?
The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)
What is the volume of the larger of two similar rectangular prisms if the smaller prism has a volume of 24 cu cm and a base of 4 cm while the larger prism has a base of 12 cm?
As the two prisms are similar there are ratios between them. The ratio of the lengths is 4 : 12 = 1 : 3 The ratio of volumes is the cubs of the ratio of lengths. → The volumes are in the ratio of 1³ : 3² = 1 : 27 As the a smaller prism has a volume of 24 cm³, the larger prism has a volume 27 times larger → volume larger prism = 27 × 24 cm³ = 648 cm³
The two solids below are similar and the ratio between the lengths of their edges is 35. What is the ratio of their surface areas?
If the lengths are in the ratio 3:5, then the surface areas are in the ratio 9:25.
