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Do solids that have the same volume have the same surface area?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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Do figures with the same volume always have the same surface area?
figures with the same volume does not have the same surface area.
If two rectangular prisms have the same volume do they have the same surface area?
well, they can, but they dont have to be no. :)
What happens to the volume of an object as its surface area increases?
In general, the volume will also increase. If the shape remains the same, the volume will increase faster than the surface area. Specifically, the surface area is proportional to the square of an object's diameter (or any other linear measurement), while the volume is proportional to the cube of any linear measurement.
Is surface area the same as volume?
No. How can they be the same, if one of them is a two-dimensional measure, the other a three-dimensional measure.
How do you Calculate mass with surface AREA?
You cannot These are different concepts. you need a volume and density to calculate mass, surface area provides neither (a cube and a sphere with the same surface area have different volumes and, had they been made of the same material, would have different masses).
How are surface area and volume related to cell size?
Volume varies as the 1.5th power of the surface area of regular solids. With other well behave solids, this relationship applies as long as all three dimensions change in the same ratio - that is, the shapes are similar.
How are volume and surface area the same when volume stays the same?
There is no reason for the surface area to remain the same even if the volume is the same.
Do figures with the same volume always have the same surface area?
figures with the same volume does not have the same surface area.
Do cubes have the same volume and surface area?
Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.
Can two rectangular prisms have the same surface area but different volume?
Yes, they can. They can also have the same surface area, but different volume.
What is the ratio of surface area to volume for a sphere with surface area and volume m?
If they have the same radius then it is: 3 to 2
Is the volume of a cylinder the same as the surface area of a cylinder?
no
As a cell becomes larger what happens to its surface area and volume?
The Volume increases faster than the Surface Area
How does the surface area to volume ratio change as the cell size increases?
It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.
How can two rectangular prisms have the same surface area but different volumes?
Yes, they can. They can also have the same surface area, but different volume.
Is it possible to have the same surface area different volume?
yes.
What dimentions do you need to get the same surface area as volume?
The depth would have to have a value of 1. For example, a slab 60" long by 24" wide by 1" deep would have the same surface area as volume. Examples: Area = LxW (60x24=1440 sq inches). Volume = LXWXD (60x24x1=1440 cubic inches). In this case, the volume has the same value as the surface area
