Yes. To prove this, consider a simple example -- a cube. The volume of a cube is s3 where s is the length of one edge of the cube. The surface area is equal to 6s2 still using s as the length of one edge of the cube. So now we just need to solve the equation: 6s2 = s3 To do that simply divide each side by s2. Now we have 6 = s. So a cube with an edge of length six units will have an equal volume and surface area. To double check, the volume is 63 = 216. The surface area is 6 x 62 = 63 = 216. Note that although the values are the same (216) the units of measurement are still different: units2 for the surface area and units3 for the volume.
figures with the same volume does not have the same surface area.
well, they can, but they dont have to be no. :)
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.
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.
No. How can they be the same, if one of them is a two-dimensional measure, the other a three-dimensional measure.
yes.
There is no reason for the surface area to remain the same even if the volume is the same.
figures with the same volume does not have the same surface area.
Yes they would have to be similar cubes.
Yes. A cube that is 2x2x2 has the same volume as a rectangular prism that is 1x2x4, which is 8. The surface area of the cube is 24 while the surface area of the rectangular prism is 28.
d. surface area increases and the volume does not increase at the same rate, leading to a decrease in surface area to volume ratio.
Yes, they can. They can also have the same surface area, but different volume.
Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.
Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.
If they have the same radius then it is: 3 to 2
no
The Volume increases faster than the Surface Area