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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)..

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Q: What are the dimensions of the lowest possible surface area for a box with a volume of 264 in cubed?
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How are volume and surface area the same?

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.


Describe the dimensions of a rectangular prism with a volume of 80 and a surface area of less than 132?

5x4x4 Volume=80 Surface Area=112


What does this mean 4millimeters x 2.3meters x 24meters?

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?).


What set of dimensions is possible for a rectangular prism with a volume of 45 cm3?

3m by 5m by 3m


What surface area equal to its volume?

No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.

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How are volume and surface area the same?

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.


Which geometric shape has the lowest surface area to volume ratio?

A sphere has the lowest surface area to volume ratio of all geometric shapes. This is because the sphere is able to enclose the largest volume with the smallest surface area due to its symmetrical shape.


Describe the dimensions of a rectangular prism with a volume of 80 and a surface area of less than 132?

5x4x4 Volume=80 Surface Area=112


What is the amount of space occupied by 3 dimensions?

IDK


If the surface area is 42 cm squared what is the volume?

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.


How do you determine surface area when given volume?

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.


Why does a sphere have the lowest surface area to volume ratio?

A sphere has the lowest surface area to volume ratio compared to other shapes because it has the smallest surface area for a given volume. This is due to its symmetrical shape, which minimizes the surface area while maximizing the volume. The sphere's surface area is spread out evenly in all directions, making it more compact and efficient.


What does this mean 4millimeters x 2.3meters x 24meters?

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?).


Why when you multiply the dimensions of a cube by two is the volume much larger but the surface area remains the same?

Because


What set of dimensions is possible for a rectangular prism with a volume of 45 cm3?

3m by 5m by 3m


What surface area equal to its volume?

No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.