I've attempted to answer this question but do not have access to a mark scheme. can someone please check it is correct. Thanks in advance!
Three solid shapes A, B and C are similar.
The surface area of shape A is 4cm^2
The surface area of shape B is 25cm^2
The ratio of the volume of shape B to the volume of shape C is 27:64
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
Area scale factor of A:B = 25/4
Length SF of A:B = 5/2
Volume SF of B:C = 64/27
Length SF of B:C = 4/3
Ratio of lengths: 2:5:C
A:3:4
To make them equivalent
6:15:C
A:15:20
6:20 -> 3:10
I hope that working is clear
Three solid shapes A, B and C are similar.
The surface area of shape A is 4cm^2
The surface area of shape B is 25cm^2
The ratio of the volume of shape B to the volume of shape C is 27:64
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
Area scale factor of A:B = 25/4
Length SF of A:B = 5/2
Volume SF of B:C = 64/27
Length SF of B:C = 4/3
Ratio of lengths: 2:5:C
A:3:4
To make them equivalent
6:15:C
A:15:20
6:20 -> 3:10
I hope that working is clear
