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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.


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


Are congruent figure similar?

Yes, congruent figures have to be similar


What is figures that can have the same shape but not necessarly the same region figure?

They are similar figures.


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.


What transformations create similar figures?

An enlargement transformation will create a similar figure,


The transitive property holds for similar figures?

The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.


What is alike and different about similar and congruent figures?

If two figures are similar or congruent, each angle of the first figure is the same as the corresponding angle of the second figure.In similar figures, the ratio of each side in the first figure to the corresponding side in the second figure is a constant. If the figures are congruent, that ratio is 1: that is, the corresponding sides are of the same measure.


What are satyrlike figures?

A satyrlike figure looks similar to a faun


What is different about similar figure and congruent figures?

Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.


Composite figures of right triangles in trigonometry?

A composite figure is a figure that is made up of several smaller geometric figures like triangles, circles, or rectangles.


What is a simmilar figures?

A similar figure is proportionally the same shape as another figure and all the angles are the same.