Question 113645: Determine the surface area and the volume for 5 blocks and 6 blocks.
Number of Blocks Surface area (in square cm) Volume (In cubic cm)
Block 1= 18cm area 4 cm volume
Block 2= 30 cm area 8 cm vol
Block 3= 42 cm area 12 cm vol
Block 4= 54 cm area 16 cm vol
Block 5= 66 cm area 20 cm vol
Block 6= 78 cm area 24 cm vol
Which I have done already. I am now supposed to: write an algebraic expression to represent the relationship between the number of blocks and the surface area of the tower.
and use mathematics to justify my answer. What I do know: the surface area with each block adds 12 more cm and with each block added the volume increases by 4 cm, so do the 12 and 4 need to be in the expression and how would I express it?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine the surface area and the volume for 5 blocks and 6 blocks.
Number of Blocks Surface area (in square cm) Volume (In cubic cm)
Block 1= 18cm area 4 cm volume
Block 2= 30 cm area 8 cm vol
Block 3= 42 cm area 12 cm vol
Block 4= 54 cm area 16 cm vol
Block 5= 66 cm area 20 cm vol
Block 6= 78 cm area 24 cm vol
Which I have done already. I am now supposed to: write an algebraic expression to represent the relationship between the number of blocks and the surface area of the tower.
and use mathematics to justify my answer. What I do know: the surface area with each block adds 12 more cm and with each block added the volume increases by 4 cm, so do the 12 and 4 need to be in the expression and how would I express it?
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Let "x" be the number of blocks
Surface area = 6 + 12x sq.cm.
Volume = 4x cu.cm
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You did well to notice the pattern.
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Cheers,
Stan H.
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