27:55
1.5 by 2
The dimensions work out as: length = 30 times the square root of 5 breadth = 40 times the square root of 5 check: (30 times sq rt of 5)*(40 times sq rt of 5) = 6000 square units
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.
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
Any rectangle whose sides are in the ratio 2:3. For example, in a 6x9 rectangle, the width (6) is two-thirds of the height (3), so it is similar to the 2x3 rectangle.
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.
An example of a ratio would be 1:2, say you have two squares, one of the side lengths on the square is 4 inches, the other is 2 the ratio of the smaller rectangle to the larger rectangle is 1 to 2, or 1/2 of the larger rectangle.
It depends on whether the side length of 3 is the smaller or the larger of the two sides of the second rectangle. that is, is the 3 related to the 8 or the 17.
In order for two quantities to be in the Gold Ratio, also called the Golden Mean, then the ratio of the sum of the quantities to the larger quantity has to be equal to the ratio of the larger quantity, to the smaller one. The Mathematical value of the Golden Mean is 1.6180339887.
The scale factor between two similar shapes is the ratio of the dimensions of one (often the smaller) compared with the dimension of the other (the larger).
Yes. The ratio of its length to width is only 0.0055 percent different from the golden ratio.
1.5 by 2
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
8.125 inches
The smaller to the larger is a ratio of 6:10 or 3:5
It is (S/s)3 where S and s are the lengths of the sides of the larger and smaller cubes, respectively.
Larger; Charon is about half as big as Pluto.