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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 ).
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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.
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.
Two similar polygons have perimeters of 10 miles and 20 miles and the area of the larger is 300 miles find the area of the smaller?
In similar figures, any unit of area is proportional to the square of any linear measure. In this case, since the perimeter of the larger figure is twice as big, the area of the larger figure will be 4 times as big.
Is larger surface area break on a cycle wheel more effective than smaller surface area breaks?
Yes.
What is the relationship between the surface area to volume ratio of a cell and its size?
The larger the surface area to volume ratio of a cell, the smaller its size (and vice versa).
The surface area of two similar figures are 36in and 49in if the volume of the smaller figure is 648 in what is the volume of the larger figure?
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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
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.
If two figures are similar what is the scale factor?
The scale factor will depend on the side lengths. (Angle measures of the figures will be identical.) For example, if the smaller side had a length of 5 and the larger side had a length of 10 the ratio of the two figures would be 1:2.
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 are the figures on the Palette of Narmer similar to those on the Mesopotamian Royal Standard of Ur?
The figures are similar because the king is shown as larger than anyone else.
The volumes of two similar figures are 512 mm3 and 3375mm3. If the surface area of the smaller figure is 128mm2. What is the surface area of the larger figure?
450 mm2 Ratio of areas is the square of the ratio of lengths. Ratio of volumes is the cube of the ratios of lengths. If the volumes are in the ratio of 512 to 3375, then the lengths are in the ratio of: 3√512 : 3√3375 = 8 : 15 ⇒ ratios of areas: 82 : 152 = 64 : 225 ⇒ as smaller has surface area of 128 mm2, the larger has: surface_area = (128 ÷ 64) x 225 mm2 = 450 mm2
Two similar polygons have perimeters of 10 miles and 20 miles and the area of the larger is 300 miles find the area of the smaller?
In similar figures, any unit of area is proportional to the square of any linear measure. In this case, since the perimeter of the larger figure is twice as big, the area of the larger figure will be 4 times as big.
Does a smaller rock a have higher or lower percentage of surface area than a larger rock?
It depends on percentage related to WHAT! You cannot express surface area as a percentage of volume since the dimensions are different. So the only percentage you can have is the suface area of the smaller rock as a percentage of the surface area of the larger rock. In that case, the answer, not surprisingly, is that the smaller rock has the smaller percentage surface area.It depends on percentage related to WHAT! You cannot express surface area as a percentage of volume since the dimensions are different. So the only percentage you can have is the suface area of the smaller rock as a percentage of the surface area of the larger rock. In that case, the answer, not surprisingly, is that the smaller rock has the smaller percentage surface area.It depends on percentage related to WHAT! You cannot express surface area as a percentage of volume since the dimensions are different. So the only percentage you can have is the suface area of the smaller rock as a percentage of the surface area of the larger rock. In that case, the answer, not surprisingly, is that the smaller rock has the smaller percentage surface area.It depends on percentage related to WHAT! You cannot express surface area as a percentage of volume since the dimensions are different. So the only percentage you can have is the suface area of the smaller rock as a percentage of the surface area of the larger rock. In that case, the answer, not surprisingly, is that the smaller rock has the smaller percentage surface area.
Is larger surface area break on a cycle wheel more effective than smaller surface area breaks?
Yes.
What is size of solute?
It is the amount of surface of a solute that is exposed to the solvent. The smaller the pieces of the solute are, the larger the surface area that is exposed to the solvent.
