Geometry - Similar Solids

Mathematics
Tutor: None Selected Time limit: 1 Day

Jul 30th, 2015

Thank you for the opportunity to help you with your question!

1.  if 3 – 3cm

:. 5?

5x3/3 = 5cm

2.  if 3 __54pie cm2

:.  5 ?

54 pie cm2 x5

  3

=90pie cm2

3.  If 5 represent 250pie cm3

:. 3?

250piecm3x3

  5

= 150 pie cm3



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 30th, 2015

Can you review the below solution and tell me if it is correct or the solution you provided is correct? Thanks.

Scale factor = Solid I : Solid II = 3 : 5 

Solid I = 3 

Solid II = 3 × (5/3) 

[ Solid II = 5 m ] 

A[I] / A[II] = ( h[I] / h[II] )² 

54π / A[II} = ( 3 / 5 )² 

54π / A[II] = 9/25 

A[II] = (54π * 25) / 9 

[ A[II] = 150π m² ] 

V[I] / V[II] = ( h[I] / h[II] )³ 

V[I] / 259π = ( 3 / 5 )³ 

V[I] / 259π = 27/125 

V[I] = (259π * 27) / 125 

[ V[I] = 55.944π m³ ] 


Jul 30th, 2015

Scale factor = Solid I : Solid II = 3 : 5 

Solid I = 3 

Solid II = 3 × (5/3) 

[ Solid II = 5 m ]

correct except the units of measurement

the remaining expressions are wrong since you should have used the scale factor in comparison to the area and the volume and not the height

and remember this question is worth 4$

A[I] / A[II] = ( h[I] / h[II] )² 

54π / A[II} = ( 3 / 5 )² 

54π / A[II] = 9/25 

A[II] = (54π * 25) / 9 

[ A[II] = 150π m² ] 

V[I] / V[II] = ( h[I] / h[II] )³ 

V[I] / 259π = ( 3 / 5 )³ 

V[I] / 259π = 27/125 

V[I] = (259π * 27) / 125 

[ V[I] = 55.944π m³ ]




Jul 30th, 2015

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