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The ratio of the corresponding edge lengths of two similar solids is 3 6 what is the ratio of their volumes?
A.9:36
If two cylinders are similar and the ratio between the altitude lengths is 23 what is the ratio of their volumes?
The ratio of their volumes is 23^3 = 12167.
What is the ratio for the volumes of two similar spheres given that the ratio of their radii is 3 4?
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
The of the corresponding side lengths of similar triangles is called the scale factor?
ratio
What is the ratio for the volumes of two similar pyramids given that the ratio of their edge lengths is 5 to 7?
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
If two pyramids are similar and the ratio between the lengths of their edges is 4 to what is the ratio of their volumes?
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Since the ratio of the lengths of their edges is 4, the ratio of their volumes would be (4^3), which is 64. Therefore, the ratio of their volumes is 64:1.
What is the ratio of the corresponding edge lengths of two similar solids is 49 what is the ratio of their volumes?
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
The ratio of the corresponding edge lengths of two similar solids is 49 what is the ratio of their volumes?
64 729
The ratio of the corresponding edge lengths of two similar solids is 4 9 What is the ratio of their volumes?
64:729
The ratio of the corresponding edge lengths of two similar solids is 3 6 what is the ratio of their volumes?
A.9:36
The ratio of the corresponding edge lengths of two similar solids is 5 6 what is the ratio of their volumes?
125:216
If two cylinders are similar and the ratio between the alititude lengths is 2 to 3 what is the ratio of their volumes?
If two cylinders are similar, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Given that the ratio of the altitudes (heights) of the cylinders is 2 to 3, the ratio of their volumes is ( \left(\frac{2}{3}\right)^3 = \frac{8}{27} ). Thus, the ratio of the volumes of the two cylinders is 8:27.
How is the ratio of the volumes related to the ratio of corresponding dimensions?
The answer depends on whether or not the shapes are similar. If they are, then the ratio of volumes is the cube of the ratio of the linear dimensions.
If two cylinders are similar and the ratio between the altitude lengths is 23 what is the ratio of their volumes?
The ratio of their volumes is 23^3 = 12167.
The ratio of the lengths of corresponding parts in two similar solids is 51. What is the ratio of their surface areas?
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 ).
What is the ratio of corresponding side lengths are proportionsl?
The ratio of corresponding side lengths in similar figures is proportional, meaning that if two shapes are similar, the lengths of their corresponding sides will maintain a constant ratio. This ratio is consistent regardless of the size of the shapes, allowing for the comparison of their dimensions. For example, if one triangle has side lengths of 3, 4, and 5, and another similar triangle has side lengths of 6, 8, and 10, the ratio of corresponding sides is 1:2. This proportionality is fundamental in geometry for solving problems involving similar shapes.
If two pyramids are similar and the ratio between the lengths of their edges is 2 7 what is the ratio of their volume?
If two pyramids are similar and the ratio of the lengths of their edges is ( \frac{2}{7} ), the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Therefore, the volume ratio is ( \left(\frac{2}{7}\right)^3 = \frac{8}{343} ).
