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Q: Why is a cube smaller than a prism with the same volume?
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Volume of a cube compared to that of a rectangular prism?

A cube is a rectangular prism with all sides of the same length. So, volume of a rectangular prism is Length*Breadth*Height = L*B*H But for a cube, L = B = H so volume = L*L*L = L3


How is it possible for objects to have the same volume but different area?

Yes. A cube that is 2x2x2 has the same volume as a rectangular prism that is 1x2x4, which is 8. The surface area of the cube is 24 while the surface area of the rectangular prism is 28.


Explain how to find the volume of the rectangular prism shown Then find the volume Each cube is?

This is clearly lifted from some test paper, omitting the vital diagram. The volume of a rectangular prism is the area of the base multiplied by the height. Same for a cube.


Why can different three dimensional figures have the same volume?

If they have varying heights and widths and lengths. For example: You have a cube and a rectangular prism. The cube has sides that are all 6 cm. long. That cube has a volume of 216 cm Squared. The rectangle has the dimensions 3 by 12 by 6. This rectangular prism has a volume of 216 cm squared, just like the cube, and even though they weren't the same figure, they has the same volume.


How is a cube and rectangular prism the same?

A cube is a special case of a rectangular prism. If each edge of a rectangular prism were of the same measure, then it would be a cube.


How would the densities of the sphere and cube have compared if the masses of the cube and sphere had been the same but the volume of the cube had been greater?

Density = Mass/Volume, whatever the shape. So, if the masses are the same, the density is greater when the volume id smaller. Thus the sphere, with the smaller volume has the greater density.


What is the cube and rectagular prism the same?

A cube is a special kind of rectangular prism.


If a cube has a side length of 2 cm what is the volume of the cube?

The volume of a rectangular prism is found by multiplying the length, width and height. In the case of a cube they are all the same. So you multiply 2x2x2. Which is 8. So the volume is 8cm^3.


Why does a cube have the same number of corners as a rectangular prism?

A cube is a specialized form of a rectangular prism.


How a cube and a rectangular prism alike?

A cube is a rectangular prism in which each edge is of the same length.


How is the net of cube the same as the net of rectangular prism that is not a cube?

The nets are NOT the same.


How are a cube and a square prism alike?

A square prism can have any height. A cube is a type of square prism, one where the height is the same as the base.