0
What else can I help you with?
What would the dimensions of the new rectangle be if you wanted to reduce a rectangle with a length of 6 and a width of 8 by a ratio of one fourth?
1.5 by 2
The length and breadth of a rectangle is of ratio 3 to 4 The area of a rectangle is 6000 what are the dimensions of the rectangle?
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
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.
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
If two pyramids are similar and the ratio between the length of their edges is 3.11 what is the ratio of their volume?
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Given that the ratio of their edges is 3.11, the ratio of their volumes would be (3.11^3). Calculating this, the volume ratio is approximately 30.3. Thus, the volume of the larger pyramid is about 30.3 times that of the smaller pyramid.
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 are some examples of a ratio?
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.
What is the ratio of a rectangle with side lengths of 8 and 17 to a similar rectangle with a side length of 3?
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.
What is the ratio known as the Golden Mean also called the Fibonacci Rectangle?
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.
What is the definition of scale factor?
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).
Are the dimensions 3 by 1.854 that of a golden rectangle?
Yes. The ratio of its length to width is only 0.0055 percent different from the golden ratio.
What would the dimensions of the new rectangle be if you wanted to reduce a rectangle with a length of 6 and a width of 8 by a ratio of one fourth?
1.5 by 2
Is there a silver ratio if there's a golden ratio?
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.
What are the surface areas of two similar figures are 27 and 1331 if the volume of the smaller one is 18 then what is the larger ones volume?
The ratio of the surface areas of two similar figures is equal to the square of the ratio of their corresponding linear dimensions. Given the surface areas are 27 and 1331, the ratio of their corresponding linear dimensions is the square root of ( \frac{1331}{27} ). Since the volume ratio is the cube of the linear dimension ratio, we can find the larger volume by calculating ( \frac{1331}{27} ) and then multiplying the smaller volume (18) by the cube of that ratio. The larger volume is therefore ( 18 \times \left(\frac{1331}{27}\right)^{\frac{3}{2}} = 486 ).
The ratio of the dimensions of a rectangle is 5 to 4 the shorter dimension is 6.5 inches. what is the longer dimension?
8.125 inches
What is the similarity ratio of a smaller cone with a height of 9 and a radius of 6 and a larger cone with a height of 15 and a radius of 10?
The smaller to the larger is a ratio of 6:10 or 3:5
The similarity ratio of two similar polygons is 2 and 3 Compare the smaller polygon to the larger polygon Find the ratio of their areas?
For two similar polygons, the ratio of their areas is equal to the square of the ratio of their corresponding side lengths. Given the similarity ratio of the smaller polygon to the larger polygon is 2:3, we calculate the area ratio as follows: ( \left(\frac{2}{3}\right)^2 = \frac{4}{9} ). Therefore, the ratio of the areas of the smaller polygon to the larger polygon is 4:9.
