If by box you mean a cuboid shaped box, then the smallest surface area is a cube of side 2641/3 ~= 6.42 in (of approx 246.92 sq in).
If there is no limitation on the interpretation of the shape of the box, then the smallest surface area is a sphere of radius (3/4 x 264 / {pi})1/3 = (198 / {pi})1/3 ~= 3.98in (of approx 199.02 sq in)..
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.
5x4x4 Volume=80 Surface Area=112
It means that someone has recorded the dimensions of a thin object with rather a large area, possibly with the aim of calculating its volume. However, it is equally possible that the dimensions are recorded to establish its surface area (for painting?).
No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.
yes.
The answer will depend on formula for WHAT! Its dimensions, surface area, volume, principal diagonal, mass. And on what information is available.The answer will depend on formula for WHAT! Its dimensions, surface area, volume, principal diagonal, mass. And on what information is available.The answer will depend on formula for WHAT! Its dimensions, surface area, volume, principal diagonal, mass. And on what information is available.The answer will depend on formula for WHAT! Its dimensions, surface area, volume, principal diagonal, mass. And on what information is available.
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.
because the surface area is spread out over the volume of mass
5x4x4 Volume=80 Surface Area=112
IDK
a sphere
This question cannot be answered in a sensible way. A surface area has dimensions [L2]. The volume has dimensions [L3]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions without additional information.
You cannot, unless you know what the shape is. For a very few regular shapes, the volume can provide information on the linear dimensions of the object. But even for something as simple as a cuboid (but not a cube), that does not work - there are an infinite number of possible measures for the length/breadth/height which will give the same volume. Once you have these linear dimensions, determining the surface area is a lot more straightforward.
It means that someone has recorded the dimensions of a thin object with rather a large area, possibly with the aim of calculating its volume. However, it is equally possible that the dimensions are recorded to establish its surface area (for painting?).
Because
If all other dimensions of the cell remain the same, both surface area and volume should increase if the diameter is increased.
No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.