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How are the shortcuts for finding surface area and volume different?
volume is simply how much something can hold. area is based on the amount of space covering the figure. the short cut for surface area for a prism is lateral area+2base areas this is as simple as it gets for volume for a prism it is lwh
Surface areas and volumes of spheres?
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
What would their combined surface area be?
It would be the sum of the areas of each surface separately.
How does a small surface area per unit volume help cacti live in areas that are dry for long periods of time?
Any living thing that has a low surface area per unit of volume will lose less moisture to evaporation than a living thing with a high surface area to volume ratio.
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 ).
Do solids that have the same volume have the same surface area?
Not necessarily. Having the same volume does not mean having the same surface area. As an example, if you were to take a sphere with volume 4/3*pi*r^3, and a suface area of 4*pi*r^2, and compare it to a cube with sides 4/3, pi, and 4^3, you would find that they had a different surface area, but the same volume. Let the radius of the sphere be 2, that is r = 2. In this case the surface are of the sphere is about 50, and the surface are of the cube is about 80. So a sphere and a cube, both with a volume of about 33.51 (4/3 * pi * 8), have different surface areas.
How are the shortcuts for finding surface area and volume different?
volume is simply how much something can hold. area is based on the amount of space covering the figure. the short cut for surface area for a prism is lateral area+2base areas this is as simple as it gets for volume for a prism it is lwh
How do you calculate surface area to volume ratio?
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
How do you prove that volume of lateral and total surface area?
You cannot. There is no such thing as a volume of lateral and total surface areas. A volume is a 3-dimensional concept whereas surface areas are 2-dimensional concepts. According to basic principles of dimensional analysis, any attempt at conversion from one to the other is a fundamentally flawed procedure.
Surface areas and volumes of spheres?
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
What is a good experiment to test why water evaporates quicker in larger areas?
Use two bowls with different upper surface but the same volume; measure during time the mass.
What would their combined surface area be?
It would be the sum of the areas of each surface separately.
Why do planets that are the same size have different surface area?
Two planets of the same size can have different surface areas due to variations in their topography, such as mountains or valleys. The presence of oceans or atmospheres can also affect surface area. Additionally, geological activity can constantly change the surface area of a planet over time.
How does the capacitance of parallel-plate capacitors with different surface areas vary?
The capacitance of parallel-plate capacitors increases with the surface area of the plates. This means that capacitors with larger surface areas have higher capacitance compared to capacitors with smaller surface areas.
What is the total surface area of a triangular prism?
you would have to add all the different areas of each side together to get the surface area. the formula though, would be side area times three, plus the base
What ratio limits the size of a cell?
The maximum size of a cell is determined by the ratio of surface area to volume.If the volume is too large compared to the surface area, it would take much too long for substances to move to and from the centre of the cell to the outside, or other areas of the cell. This means that the middle of the cell would not be likely to get enough nutrients and the cell would die.While there are dozens of biochemical factors, the primary physical limitation placed upon the size of the Cell is due to Cellular Division: activated due [according] to the volume of the Cell.The surface area to volume ratio is the limit to cell size. As the cell becomes bigger the surface area can not take care of the volume.
How does a small surface area per unit volume help cacti live in areas that are dry for long periods of time?
Any living thing that has a low surface area per unit of volume will lose less moisture to evaporation than a living thing with a high surface area to volume ratio.
