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What is the ratio of similar solids when the areas are 125 and 216?
Wiki User
∙ 12y ago
The ratio is sqrt(125/216) = sqrt(0.578704) = 0.7607 (to 4 dp)
The question is more likely to have been about volumes being 125 and 216. In that case, the ratio of the solids' dimensions would have been the cuberoot of (125/216) which is 5/6.
Wiki User
∙ 12y ago
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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 lengths of their edges is 2 5 what is the ratio of their volumes?
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125
If the ratio between the radii of the two spheres is 5 8 what is the ratio of their volumes?
Ratio of volumes is 53 to 83 which is 125 to 512
If the lateral areas of two similar cylinders are 50pi cm sq and 18pi cm sq and the volume of the smaller cylinder is 54pi cm cubed what is the volume of the larger cylinder?
The two cylinders are similar - they are of corresponding shapes but one is x times bigger than the other. If a cylinder is x times bigger in a single dimension, it will be x2 times greater in measurements involving two dimensions (i.e. area) and x3 times bigger in three dimensions (volume). Here, the ratio in two dimensions is 50pi / 18pi. This cancels to 25/9. So in terms of area, one is 25/9 times larger. x2 = 25/9 So x = sqrt25/sqrt9 = 5/3 and x3 = 53/33 = 125/27 (If you prefer, one can just write (25/9)3/2 = 125/27) In terms of volume, then, the big cylinder is 125/27 times bigger. Multiply this ratio by the volume of the small cylinder... 54pi x 125/27 cancels to 2pi x 125 = 250pi cm3. ...and you have the volume of the big cylinder. (It's tidiest to leave the answer in terms of pi.) This is just a question about scale factors, and the identity of the objects as cylinders is irrelevant, because they are similar. The way in which the figures neatly cancel without producing any horrendous decimals suggests that this question came from a textbook or an exam paper.
What is the common ratio of the geometric sequence 625 125 25 5 1?
It is 0.2
The ratio of the corresponding edge lengths of two similar solids is 5 6 what is the ratio of their volumes?
125:216
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.
What is the ratio of 125 cubic inches?
The ratio of 125 cubic inches to 125 cubic inches is 1.
If two similar prisms have volumes of 125 cm3 and 9 cm3 what is the side ratio of the two prisms?
If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus: ratio of volumes = 125 : 9 ratio of sides = 3√125 : 3√9 ~= 5: 2.08 (~= 2.4 : 1) Have you got the volumes correct? I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and: ration of volumes = 125 : 8 ratio of sides = 3√125 : 3√8 = 5 : 2 (= 2.5 : 1)
What is the ratio of 625 to 125?
125:6
Two similar prisms have heights 4 cm and 10 cm What is the ratio of their volumes?
125/8 or (5/2)3
If two cylinders are similar and the ratio between the lengths of their edges is 2 5 what is the ratio of their volumes?
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125
What is the ratio of 125 115 in a fraction?
It is 125/115, which can be simplified if required.
What is the definition of 125 Loan?
A loan, usually a mortgage, with an initial loan amount equal to 125% of the initial property value. In other words, a 125% loan has a loan-to-value ratio (LTV ratio) of 125%.
What is the premix ratio for a 2002 rm 125?
The manual suggests a ratio of 30:1
What is the ratio of boys to girls if 150 people are at a dance and 125 of them are boys?
If there are 125 boys and 25 girls, then the ratio of boys to girls would be 5:1.
What is ratio of protrons and neutrons in lead?
82/125
