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When you make a figure bigger or smaller using scale factor it is called?
Scale Factor
If volume of two similar figures are 729 mm cubed plus 2744 mm cubed if the surface area of the larger figure is 392 mm squared what is the surface area of the smaller figure?
To find the surface area of the smaller figure, we can use the relationship between the volumes and surface areas of similar figures. The volume ratio of the larger figure to the smaller figure is ( \frac{2744}{729} = \left(\frac{a}{b}\right)^3 ), where ( a ) is the linear dimension of the larger figure and ( b ) is that of the smaller figure. Taking the cube root gives the linear scale factor ( \frac{a}{b} = \frac{14}{9} ). The surface area ratio, which is the square of the scale factor, is ( \left(\frac{14}{9}\right)^2 = \frac{196}{81} ). Given the surface area of the larger figure is 392 mm², the surface area of the smaller figure is ( 392 \times \frac{81}{196} = 162 ) mm².
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).
How does a scale factor effect the dimensions of a figure?
Each linear dimension is altered by a multiple which is the scale factor.
The surface areas of two similar hexagonal prisms are 882 and1058 What is the scale factor of the smaller prism to the larger prism?
It is 21/23.
How can you find the scale factor from a smaller figure to the larger figure using the scale factor?
The two scale factors are reciprocals of one another.
Abe acd find the scale factor?
To find the scale factor, you need to compare the corresponding sides of two similar figures. The scale factor is calculated by dividing the length of a side on the larger figure by the length of the corresponding side on the smaller figure. For example, if the larger figure has a side length of 8 units and the corresponding side on the smaller figure is 2 units, the scale factor would be 8 divided by 2, which equals 4.
When you make a figure bigger or smaller using scale factor it is called?
Scale Factor
Two figures are similar and the scale factor is one half If a side of the larger figure is 12 then the corresponding side in the smaller figure is?
Having sex
The scale factor of a figure is 1.8 One side of the larger figure is 12cm How long is the corresponding size of the smaller figure?
At a scale of 1.8 to 1, the corresponding length on the smaller figure is 6 2/3 cm (6.66 cm) 12 cm is approximately 1.8 times 6.66 cm
What is the number used to multiply the lengths of a figure to make a larger or smaller similar image?
The number used to multiply the lengths of a figure to create a larger or smaller similar image is called the scale factor. It is a ratio that represents the proportional relationship between the corresponding sides of two similar figures.
How do you find a scale factor of a triangle?
To find the scale factor of two triangles, look first for one pair of corresponding sides--one side from the smaller triangle and the corresponding side from the larger triangle. Divide the larger side length by the smaller side length, and that quotient is your scale factor.
If volume of two similar figures are 729 mm cubed plus 2744 mm cubed if the surface area of the larger figure is 392 mm squared what is the surface area of the smaller figure?
To find the surface area of the smaller figure, we can use the relationship between the volumes and surface areas of similar figures. The volume ratio of the larger figure to the smaller figure is ( \frac{2744}{729} = \left(\frac{a}{b}\right)^3 ), where ( a ) is the linear dimension of the larger figure and ( b ) is that of the smaller figure. Taking the cube root gives the linear scale factor ( \frac{a}{b} = \frac{14}{9} ). The surface area ratio, which is the square of the scale factor, is ( \left(\frac{14}{9}\right)^2 = \frac{196}{81} ). Given the surface area of the larger figure is 392 mm², the surface area of the smaller figure is ( 392 \times \frac{81}{196} = 162 ) mm².
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).
What is the scale factor of spheres with a radius of 12 and 4?
Assuming the smaller sphere is the image of the larger sphere after transformation (based on the order of the radii): the scale factor is 4/12 = 1/3
What is the multiplier used on each dimension to change one figure into a similar figure?
scale factor!
How do you figure out the scale factor of a circle?
how do you find the scale factor of two circles
