Geometry

Volume

Volume

This is the amount of space in three dimensions. We only need to consider the volume of prisms – A prism is a three dimensional shape with a constant cross-section. (If you slice the shape up into pieces, each piece will look the same.)

Volume of any prism = Area of cross section x length

Cuboid

Capture

V = L x W x H

V = 6 x 5 x 4

V = 120m2

Sometimes we may be given the volume of a cuboid and the length of two dimensions and asked to find a third dimension:

Capture

V = 24000m2

Find h

V = L x W x H

24000 = 40 x 30 x h

24000 = 1200 x h

(1200) (1200)

h = 20m

Volume of a Cylinder (leave pi in your answer)

Capture

V = ?r2 x L

V = ? x 102 x 15

V = ? x 100 x 15

V = 1500? m2

Volume of a trianglular prism

Capture

V = area of cross section x length

V =