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Let us begin with first saying that Volume will almost ALWAYS be greater than surface area considering it is in units cubed (to the third power, e.g. x^3) and surface area is units squared (to the second power, e.g. x^2)
However, I don't think this is the question. Yes volume can be greater than surface area. Example:
There is a cube with the dimensions 7x7x7
(V=hlw)The volume of this cube is going to be 7^3, or 7x7x7 = 343
(Sa=6lw)The surface area would be 6(7x7) or 6x7x7 = 294
A perfect example of when the NUMBER representing surface area is smaller than volume. Hope this helped! I'm actually on this subject right now in Eighth, so there's my bibliography, the good old noggin'.
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You cannot discreetly compare volume and surface area and claim that one is bigger. You could do it numerically, and the volume of a solid can numerically be greater, equal, or less than the surface area depending on what units you use. Consider a cube with side length 1 meter.
V = 1 m3, SA = 6 m2 <-- here, the surface area is numerically larger
Now suppose we say the side length of the cube is 100 centimeters:
V = (100 cm)3 = 106 cm3, SA = 6*(100 cm)2 = 6*104 cm2 <-- here, volume is numerically larger.
In both cases, we had a cube with the same dimensions but different units. This shows why we cannot easily say that the volume of a solid is greater or less than the surface area since they have different units (unit2 vs. unit3) and we can use a different unit (m vs. cm) and produce entirely different results.
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∙ 12y ago
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Why does a powdered solid have a larger surface area than a solid lump?
Each speck of the powder has a smaller surface area than the lump of solid, however the total surface area of the powder specks will be greater than that of the solid lump
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 solvent greater than or less than the volume of solute?
The solvent is the greater of the two dissolved quantities.
Does a full can of soda have a greater volume than an empty one?
no....its stil lthe same volume.(:
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
Which is true about the volume or surface area of these prisms?
You must be with K12 if you are it is The surface area of A is greater than the surface area of B.
Why are groups of a small cells better than one large cell at moving material in and out?
they have a greater surface-to-volume ratio
Is true that small cells have larger surface area to volume rations than do larger cells?
Cell have a greater surface area to volume rations than a larger cell.
Does a planet with greater mass have greater surface area?
A planet with a greater mass does not necessarily have greater surface area than one with less mass. The planet could be made of denser material and have a smaller surface area. Mass doesn't always mean volume.
What happens to a cell ratio of surface area to volume as the cells volume increases rapidly than its surface area?
The cell's ratio of surface area to volume would decrease if its volume increases more rapidly than its surface area.
Does the volume of a cell grow more or less rapidly than the surface area?
volume increases faster than the surface area.
What happens to a cell's ratio of surface area to volume as the volume increases more rapidly than its surface area?
As volume increases surface area increase, but the higher the volume the less surface area in the ratio. For example. A cube 1mmx1mmx1mm has volume of 1mm3 surface area of 6mm2 which is a ration of 1:6 and a cube of 2mmx2mmx2mm has a volume of 8mm3 and surface area of 24mm2 which is a ratio of 1:3.
Why are groups of small cells better than one cell of moving material in and out?
They have greater surface area-to-volume ratios.
How does surface area to volume ratio affects an organism?
If the surface area of the organism is small, then there is no problem with getting all the oxygen needed. If the surface area of the organism is large, therefore a special respiratory surface is needed. An example is lungs, gills. The ratio of surface area to volume in a small organism is greater than the ratio in a large organism.
A cell's volume grows faster than its surface area so if cell gets too large what would happen?
If the cell's surface-to-volume ratio got too small as a result of the volume increasing faster than the surface area, the cell would no tbe able to get the nutrients it needs to survive and would die.
How might the surface area to volume affect the ratio affect the abilty of a cell to take in and use nutrients from its environment?
Larger surface area can be favourable to increased rated of exchange whereas greater cell volume can be unfavourabe. Being a three dimensional structure the rate in which volume grows is higher than the rate of surface area growth.
What is the surface area of a cereal box if the volume is 100 cubic cm?
The volume doesn't tell you the dimensions or the area of the sides.The smallest area it could have is 129.266 square cm, but it could beany number greater than that.
