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If you double the cross-sectional area and halve the length, you will still have the same volume but the dimensions will be different.

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Q: How can 2 prisms have the same volume but different dimensions?
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Is it possible for two rectangular prisms to have the same volume but not the same measurements?

Two different rectangular prisms can both have the same volume of 72 cm3


Two rectangular prisms that have the same volume and the same height would their base be different or the same?

They would have to have the same base area, if that's what you mean.


What are the dimensions of two rectangular prisms with the same surface area?

Given the surface area of a rectangular prism, there are infinitely many rectangular prisms possible.


Would the surface area of a triangular prism stay the same even if the dimensions were different?

No. There is no reason for the surface area of all triangular prisms to be the same always. For example, increasing the length of the prism only adds area; there is nothing to counteract this increase, so the area must be different.The same applies to all prisms and 3-dimensional objects: changing the dimensions can alter the area.


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.

Related questions

Is it possible for two rectangular prisms to have the same volume but not the same measurements?

Two different rectangular prisms can both have the same volume of 72 cm3


Can two rectangular prisms have the same surface area but different volume?

Yes, they can. They can also have the same surface area, but different volume.


Can two prisms have the same volume with different heights?

It depends, can you change the width and the length??


How can two rectangular prisms have the same surface area but different volumes?

Yes, they can. They can also have the same surface area, but different volume.


Is volume same even if shape is different?

Two different shapes can have the same volume, depending on the dimensions of each one.


What are the dimensions of a 1.2 cubic foot box in inches?

To find the dimensions of a 1.2 cubic foot box in inches, you first need to calculate the volume of the box in cubic inches. Since 1 cubic foot is equal to 1728 cubic inches, you multiply 1.2 by 1728 to get 2073.6 cubic inches. Next, since the box is a rectangular prism, you need to find the dimensions that when multiplied together equal 2073.6. Possible dimensions could be 12 in x 12 in x 14.4 in or 18 in x 12 in x 9.6 in.


Two rectangular prisms that have the same volume and the same height would their base be different or the same?

They would have to have the same base area, if that's what you mean.


What are the dimensions of two rectangular prisms with the same surface area?

Given the surface area of a rectangular prism, there are infinitely many rectangular prisms possible.


If two rectangular prisms have the same volume do they have the same surface area?

well, they can, but they dont have to be no. :)


Would the surface area of a triangular prism stay the same even if the dimensions were different?

No. There is no reason for the surface area of all triangular prisms to be the same always. For example, increasing the length of the prism only adds area; there is nothing to counteract this increase, so the area must be different.The same applies to all prisms and 3-dimensional objects: changing the dimensions can alter the area.


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.


What is the height of a rectangular prism with a volume of 240 cubic inches?

Knowing the volume doesn't tell you what any of the dimensions has to be. There are an infinite number of different possibilities that all have the same volume.