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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 the area of rectangle ABCF to the area of rectangle ABDE?
To determine the ratio of the area of rectangle ABCF to the area of rectangle ABDE, you need the dimensions of both rectangles. If rectangle ABCF has dimensions ( l_1 ) (length) and ( w_1 ) (width) and rectangle ABDE has dimensions ( l_2 ) and ( w_2 ), the areas would be ( A_1 = l_1 \times w_1 ) and ( A_2 = l_2 \times w_2 ). The ratio of the areas is then given by ( \frac{A_1}{A_2} = \frac{l_1 \times w_1}{l_2 \times w_2} ). Without specific dimensions, the ratio cannot be calculated.
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.
How you could use the dimensions of a reduced rectangle and one given measurement of an original rectangle to find a missing measure?
To find a missing measure of the original rectangle, you can use the dimensions of the reduced rectangle, which are scaled down versions of the original's dimensions. If you know one measurement of the original rectangle (either length or width), you can set up a proportion using the corresponding dimensions of the reduced rectangle. By solving for the missing measurement, you can determine the original rectangle's dimensions. This method relies on the fact that the ratio of the sides of the reduced rectangle remains constant with respect to those of the original rectangle.
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 ).
If the area of one circle is twice that of another circle what is the ratio in percent of smaller to larger circle?
If the area of one circle is twice that of another, the ratio of the area of the smaller circle to the larger circle is 1:2. To express this as a percentage, the area of the smaller circle is 50% of the area of the larger circle. Thus, the ratio in percent of the smaller circle to the larger circle is 50%.
