0
A cube is not necessarily smaller than a prism with the same volume; rather, it is a specific type of prism. The volume of both shapes can be equal, but their surface areas can differ significantly. A cube, by virtue of its equal dimensions, generally has a smaller surface area compared to a prism with the same volume but varying dimensions. This difference means that the cube is more compact, but both shapes can occupy the same volume in space.
What else can I help you with?
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.
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.
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.
What is the cube and rectagular prism the same?
A cube is a special kind of rectangular prism.
Why does a cube have the same number of corners as a rectangular prism?
A cube is a specialized form of a rectangular prism.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
Compare and contrast rectangular prism and a cube?
Each has 6 flat sides and 8 vertices. The sides of a cube are all the same. The sides of a rectangular prism are not the same sometimes.
If you have a cube and a sphere that weigh the same but only the cube will float what does that tell you about the volume?
The cube has a larger volume.
Is volume of a cube the same as the inside of a cube?
yes
In mathematical terms what is a box?
A rectangular prism. If every edge is the same length, then it is a cube.
Why is a cube a prism?
A prism has the same cross section throughout its length no matter what form it may take i.e. a cubic prism, a cuboid prism, a triangular prism, a hexagonal prism, a cylindrical prism etc.
How do you find the volume of a rectangular prism relates to the volume of a tringular prism if the two have the same lengthwidthand height?
The volume of a rectangular prism is found by; Volume = Length x Width x Height The volume of a triangular prism is found by; Volume = 1/2 x Length x Width x Height Therefore, Length, Width and Height being identical, 1) the volume of a rectangular prism is twice that of a similar triangular prism OR 2) the colume of a triangular prism is half that of a similar rectangular prism.
What two shapes have the same number of corners?
rectangular prism and cube
If you cut a cube in half will the combined volume of the 2 halves be more less or the same?
The volume will stay the same, because you are not taking any volume away, nor adding any. Therefore the volume will stay the same.
How do you find the volume for a triangular prism?
The volume of any prism is worked out in the same way whether it's a hexagonal prism, circular prism or a triangular prism. You just need to times the length of the prism against the area of the cross-section.
What is the side length of a cube that has the same volume of a sphere with the radius of 1?
The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.
