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# How do you keep the volume of an object the same but change the surface area?

Updated: 4/28/2022

Wiki User

10y ago

Increase the magnitude of one dimension while reducing the other two. In other words, make the shape thin and flat but very long.

For example, a 4*4*4 cube has a volume of 64 cubic units and a surface area of 96 square units.

A 1*1*64 cuboid, on the other hand, has the same volume but its surface area is 258 square units.

Similarly, starting from a sphere, the volume can be maintained but the surface area increased by making it a very thin, flat but long ellipsoid.

In mathematical terms there is no limit to how thin or flat, nor how long the shape can be and so there is no limit to the surface area. In real life, of course, no dimension can be made smaller than a molecule and even that is doubtful.

Increase the magnitude of one dimension while reducing the other two. In other words, make the shape thin and flat but very long.

For example, a 4*4*4 cube has a volume of 64 cubic units and a surface area of 96 square units.

A 1*1*64 cuboid, on the other hand, has the same volume but its surface area is 258 square units.

Similarly, starting from a sphere, the volume can be maintained but the surface area increased by making it a very thin, flat but long ellipsoid.

In mathematical terms there is no limit to how thin or flat, nor how long the shape can be and so there is no limit to the surface area. In real life, of course, no dimension can be made smaller than a molecule and even that is doubtful.

Increase the magnitude of one dimension while reducing the other two. In other words, make the shape thin and flat but very long.

For example, a 4*4*4 cube has a volume of 64 cubic units and a surface area of 96 square units.

A 1*1*64 cuboid, on the other hand, has the same volume but its surface area is 258 square units.

Similarly, starting from a sphere, the volume can be maintained but the surface area increased by making it a very thin, flat but long ellipsoid.

In mathematical terms there is no limit to how thin or flat, nor how long the shape can be and so there is no limit to the surface area. In real life, of course, no dimension can be made smaller than a molecule and even that is doubtful.

Increase the magnitude of one dimension while reducing the other two. In other words, make the shape thin and flat but very long.

For example, a 4*4*4 cube has a volume of 64 cubic units and a surface area of 96 square units.

A 1*1*64 cuboid, on the other hand, has the same volume but its surface area is 258 square units.

Similarly, starting from a sphere, the volume can be maintained but the surface area increased by making it a very thin, flat but long ellipsoid.

In mathematical terms there is no limit to how thin or flat, nor how long the shape can be and so there is no limit to the surface area. In real life, of course, no dimension can be made smaller than a molecule and even that is doubtful.

Wiki User

10y ago

Wiki User

10y ago

Increase the magnitude of one dimension while reducing the other two. In other words, make the shape thin and flat but very long.

For example, a 4*4*4 cube has a volume of 64 cubic units and a surface area of 96 square units.

A 1*1*64 cuboid, on the other hand, has the same volume but its surface area is 258 square units.

Similarly, starting from a sphere, the volume can be maintained but the surface area increased by making it a very thin, flat but long ellipsoid.

In mathematical terms there is no limit to how thin or flat, nor how long the shape can be and so there is no limit to the surface area. In real life, of course, no dimension can be made smaller than a molecule and even that is doubtful.

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Q: How do you keep the volume of an object the same but change the surface area?
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Related questions

### How will the pressure of an object change if area is doubled?

It won't. The pressure within a hollow object may change if the surface area changes, hence the volume. The total pressure acting on the exterior of a solid object may change if the total surface area changes.

### How will pressure of an object will change if its area is doubled?

It won't. The pressure within a hollow object may change if the surface area changes, hence the volume. The total pressure acting on the exterior of a solid object may change if the total surface area changes.

### How do you get area and volume of object?

The surface area of object is the sum of the area of all the faces of an object, while the volume is the area of the base of an object multiplied by its height.

### What does volume and surface area have in common?

The volume of a body and the surface area arerelated but not in a direct way. For a given volume, the smallest surface area of an object is seen then the object is a sphere. As the shape flattens from a sphere, so the surface area becomes larger. When the object approaches an infinitely small thickness, the surface area approaches and infinite size.

### How will the pressure of an object change if its area is doubled?

It won't. The pressure within a hollow object may change if the surface area changes, hence the volume. The total pressure acting on the exterior of a solid object may change if the total surface area changes.

It can be.

### What is meant by surface area to volume ratio?

Surface area to volume ratio is defined as the amount of surface area per unit volume of either a single object or a collection of objects. The calculation of this measurement is important in figuring out the rate at which a chemical reaction will proceed.

### How does cell's ratio of surface area to volume change as the cell grows larger?

because it has the surface area of volume

### How does a cell's ratio of surface area to volume change as the cell grows larger?

As the cell grows larger the ratio of surface area to volume increases. Larger cell = more volume for the amount surface area.

### What the relationships between the surface area of an object and the volume as the object increases in size?

They both increase. The rate of increase of the surface area is equivalent to the rate of increase of the volume raised to the power 2/3.

### What is the amount of space on the surface of an object called?

The amount of space on the surface of an object is known as its surface area. In chemistry, it is a general rule that as the surface area of a substance increases, so too does the rate of chemical reaction.

### 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.