shape, space and measure 2 cyberdesign.co.uk 2005 volume of a cuboid volume is the amount of space...
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Shape, Space and Measure 2
CyberDesign.co.uk 2005
Volume of a cuboidVolume of a cuboid
Volume is the amount of space inside 3-D shapes
A cube of 1 cm edge has a volume of 1 cm3
lengt
h =
7cm
length = 4cm
heig
ht =
5cm
This cuboid is made of 5 layers
Each layer consists of 4 x 7 = 28 cubes
In total, its volume is 28 cubes x 5 layers
Volume of a cube = length x width x height
Volume = 7 x 4 x 5 = 140 cm3
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Volume of a cuboidVolume of a cuboid
8 cm
4 cm
5 cm
2 cm
This object is made up of two cuboids. To find the total volume, add up their individual volumes.
2 cm
4 cm
5 cm
3 cm
2 cm
4 cm2
cm
V = 4 x 2 x 5
V = 4 x 2 x 3
40 cm3
24 cm3
Volume = +
Volume = 64 cm3
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Surface area of a cuboidSurface area of a cuboid
A cuboid is made of 6 sides.
The total surface area of the cuboid is the sum of areas of all its 6 sides.
6 cm
7 cm
4 cm
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Surface area of a cuboidSurface area of a cuboid
A cuboid is made of 6 sides.
The total surface area of the cuboid is the sum of areas of all its 6 sides.
6 cm
7 cm
4 cm
Total surface area
42 + 42 + 28 + 28 + 24+ 24=
= 188 cm3
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Volume of a cylinderVolume of a cylinder
Cross-section: A plane made by cutting across a solid.
The cross-section of a cylinder isa circle with radius r
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Prism is a 3-D figure with two congruent, parallelBasses that are polygons.
A pentagonal prism (the bases are pentagons)
A triangular prism (the bases are triangles)
A hexagonal prism (the bases are hexagons)
Volume of a cylinderVolume of a cylinder
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Volume of a prism
The volume V of a prism is found by
multiplying the area A of its cross-section
By its length l
V = A lArea A
Length l
Shape, Space and Measure 2
CyberDesign.co.uk 2005
Volume of a cylinder
The volume V of a cylinder is found by
multiplying the area A of its cross-section
By its length l
V = r2 lArea A
Length l
r
Cross-section area = r2