Measurement- S.Area & Volume Flashcards
Define surface area
Total area of all faces on a 3D shape
What units is S.A measured in?
mm^2, cm^2, m^2
How many faces does a cube have?
6
How many faces does a triangular prism have?
5
What is a net?
A 2D shape to represent the faces of a 3D shape
S.A of a cube
S.A = 6s^2
S.A of a rectangular prism
S.A= 2lw + 2wh + 2lh
S.A of cylinder
S.A= 2pi x r^2 + 2pi x rH
S.A of sphere
S.A= 4 pi x r^2
S.A of closed hemisphere
S.A= 3 x pi x r^2
S.A open hemisphere
S.A= 2 x pi x r^2
To convert cm^2 to m^2
Divide by 100^2
To convert cm^2 to mm^2
Multiply by 10^2
Define volume
Volume is the amount of space in a 3D shape measured in cubic units
General formula for Volume of Prism
V= Abase x Height
General formula for Volume of Non-prism
V= (1/3) x Abase x Height
Volume of sphere
V= 4/3 x pi x r^3
Volume of cube
V = s^3
Volume of rectangular prism
V= lwH
Volume of cylinder
V = pi x r^2 x H
Volume of triangular based prism
V = (1/2)bh x H
Volume of cone
V = (1/3) pi x r^2 x H
How many millilitres in 1 cm^3
1cm^3 = 1mL
How many litres in 1m^3
1m^3 = 1000L
How many kL in 1m^3
1m^3= 1kL
Surface area of cone
SA= pi x r^2 + pi x r x S
To convert mm^3 to cm^3
Divide by 10^3
To convert m^3 to cm^3
Multiply by 100^3
How many millilitres in a litre
1000ml = 1L
How many litres in a kilolitre
1000L = 1kL
