Åk 6–9
 
English/Soomaali
4.1 Spatial Geometry
On this page, we will cover the most common three dimensional bodies.  If you would like to learn more about spatial geometry and volume, you can do so in the section Volume.




Cuboids
A cuboid is a body which is limited by six sides, which can be either rectangles or squares.

Volume = a · b · c

Surface Area = 2ab + 2bc + 2ac





Cubes
A cube is a body which is limited by six equally large quadratic sides.

Volume = s · s · s = s3

Surface Area = 6s2




Right Circular Cylinders
A cylinder is a body which is limited by a lateral surface which is a rectangle, and two base surfaces which are circles.

Volume = base area · height

V = p · r2 · h

Lateral surface area = 2rph

Surface Area = 2pr2 + 2rph




Right Circular Cone
A cone is a body which is limited by a conic area, a lateral area and a base area.

Volume =
pBase · heightp
=
p · r2 · h
3
3

Lateral surface area = prs
"s" stands for the cone’s side.

Surface Area = pr2 + prs




Pyramid
A pyramid is a body which is limited by a base and side areas which come to a point
.

Volume =
Base Area · height
3





Right Prism
A prism is a
body whose base is a polygon.  A right prism is a prism whose sides are at right angles to the base.

Volume = Base Area · Height




Sphere
A sphere is a body which is limited by a spherical surface.

4 · p · r3
3
Volume =  
 

Area = 4 · p · r2