# Which of the following is three dimensional and infinitely large

## Which of the following is a three-dimensional?

A

**cube, rectangular prism, sphere, cone and cylinder**are the basic 3-dimensional shapes we see around us.## Is a cube infinitely large?

**There are no infinitely large cubes**. By definition, squares and cubes are finite. Now, you might try to extend the definitions by, for example, taking the limit as L goes to infinity of a square with sides of length L (an L x L square). But that limit doesn’t exist unless you add some extra conditions.

## When a three-dimensional figure is extend infinitely in all directions?

**A plane**is a flat surface that extends infinitely in all directions. Given any three non-collinear points, there is exactly one plane through them. A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane.

## Which object is one-dimensional and has infinite length?

line

**A line**is a one-dimensional figure that is made up of an infinite number of individual points placed side by side. In geometry all lines are assumed to be straight; if they bend they are called a curve. A line continues infinitely in two directions. Below is line AB or, in geometric notation, .

## What is the volume of a 4d sphere?

A 4 dimensional sphere has two ‘volumes’. An interior volume, which is 4 dimensional, and a surface volume which is 3 dimensional. The formula for its interior volume is

**V = (1/2)(pi^2)(r^4)**. The formula for its surface volume is 2(pi^2)(r^3).## How many dimensions does a ball have?

three-dimensional

A sphere (from Greek σφαῖρα—sphaira, “globe, ball”) is a geometrical object that is a

**three-dimensional**analogue to a circle in two-dimensional space. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space.## Which of the following are zero-dimensional and have infinite length?

**A line**has infinite length, zero width, and zero height. Any two points on the line name it.

## What is an infinite one-dimensional figure?

**A line**is a one-dimensional figure that is made up of an infinite number of individual points placed side by side. In geometry all lines are assumed to be straight; if they bend they are called a curve. A line continues infinitely in two directions.

## Is a ray infinite?

A ray is a part of a line that has one endpoint and

**goes on infinitely in only one direction**. You cannot measure the length of a ray.## Which of the following are one-dimensional and have infinite length quizlet?

**Line, Segment, Ray**, and Point. Which figures are one-dimensional and have infinite length? Ray and Line.

## Is a segment infinite?

A line segment, as you pointed out,

**has an infinite number of points**. A line also has an infinite number of points.## Does a solid have infinite length?

(iv) Surface: A surface has length and breadth but no thickness. Therefore, a surface has two dimensions, that is, it is two dimensional. (v) Solid: A solid has length, breadth and thickness. … A straight line may be extended indefinitely in either direction, that is,

**straight lines are supposed to be of infinite length**.## What geometric object has a finite length?

**A line segment**is the portion of a line lying strictly between two points. It has a finite length and no width. A ray can be thought of as a half a line. It has a point on one end, and it extends infinitely in the other direction.

## Does a plane have infinite length?

A plane is a

**two dimensional space with infinite length and width**, and no thickness. In Euclidean geometry, a plane is considered to be “flat”. In other geometries, a plane may or may not be flat.## Which of the following is considered one dimension?

**A line**is one-dimensional.

## What has infinite volume?

Gabriel’s horn

**Gabriel’s horn**(also called Torricelli’s trumpet) is a particular geometric figure that has infinite surface area but finite volume.

## Does a segment have infinite length?

A (line) segment is a finite part of a line between two points, called its end points.

**A segment has a finite length**.## Does a ray extend forever?

A line is a straight path on a plane that extends forever in both directions with no endpoints. A line segment is part of a line that has two endpoints and is finite in length.

**A ray is a line segment that extends indefinitely in one direction**.## Is surface area infinite?

## Can volume infinity?

In three dimensions, the shape with the least amount of surface area per volume contained is a sphere. To increase the volume to infinity means also increasing the surface area to infinity. So we can conclude

**the limit of surface area as volume goes to infinity**, is infinity.## Do fractals have infinite area?

2D fractal curves don’t enclose an infinite area, but

**3D fractal surfaces do have an infinite area**. For example this: here the height is varied, and any non-zero height, however small, has infinite surface area. 2D fractal curves don’t enclose an infinite area, but 3D fractal surfaces do have an infinite area.## What is an infinite length?

The length of (countable)

**infinity is always zero**!## How does Gabriel’s Horn have a finite volume?

on [1,с) around the x-axis (see the figure). … Hence, even though the Horn extends outward along the x-axis to с,

**the improper integral does converge**, and hence there is finite volume “inside” the Horn.