Question

Question1:
what is 1 dimensional,2 dimensional and 3 dimensional shapes/forms?

Question2: What are all the measurements we can solve to 1 dimensional, 2 dimensional and 3 dimensional?, pls write down all dimensional list of each shape/form that fall in the category and list all measurements we can solve for in that shape

example format: cone is a three dimensional shape
kinds: right circular cone, etc
measurements we can solve for right circular cone: surface area, etc, etc, etc (list all)
formula,given values we need to solve for surface area: (surface area formula) given values we need is radius and height etc

Answer 1

Question1

1-dimensional shapes - Straight Lines

2-dimensional shapes - Circles, Straight Lines , Curved Lines, Polygons (ex- square, rectagle, traingle, penatagon etc.)

3-dimensional shapes - Cones, Spheres, Cubes, Cuboids, Prism, Cylinder.

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Question2

Straight lines -

measurements we can solve for- Lenght of straight line. Formula= distance between two endpoints.

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Circles -

Measurements we can solve for- Circumference = $2\pi radius$ , Area = $\pi r^2$

Polygons-

Kinds - square, rectangle, traingle, regular polyon of n sides.

Measurements we can solve for is Area, Perimeter

Square Area =
(side)
Peremeter=
4 sides

Rectangle Area = Peremeter=

Traingle = Peremeter =

Regular polygon of 'n' sides = Peremeter =

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For Cones, Spheres, Cubes, Cuboids, Prism, Cylinder.

Measurements we can solve for - Surface Area (SA) and Voulme (V)

Cones - r : radius h : height

$SA= \pi r(r+ \sqrt{r^2+h^2})$$V=\pi r^2h/3$

Sphere - r : radius

$SA=4\pi r^2$   $V=4\pi r^3/3$

Cubes - edge : a

$SA=6a^2$   $V=a^3$

Cuboid -  l : lenght w : width g : height

$V=lwh$

Cylinder - r : radius h : height

$SA= 2\pi rh+2\pi r^2$$V=\pi r^2h$