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Jupiter500

  • one year ago

How would i start this off? 2. The height of one square pyramid is 12 m. A similar pyramid has a height of 9 m. The volume of the larger pyramid is 64 m3. Determine each of the following, showing all your work and reasoning: a.) Scale factor of the smaller pyramid to the larger pyramid in simplest form b.) Ratio of the areas of the bases of the smaller pyramid to the larger pyramid c.) Ratio of the volume of the smaller pyramid to the larger pyramid d.) Volume of the smaller pyramid

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  1. welshfella
    • one year ago
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    scale factor smaller to larger = 1: 12/9

  2. Jupiter500
    • one year ago
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    Oh i see you take the smaller height and larger height

  3. Jupiter500
    • one year ago
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    Do you reduce after that too because it says simplest form?

  4. welshfella
    • one year ago
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    yes i guess it would be better to write it as 9:12 - now divide both numbers by 3 to give 3:4

  5. Jupiter500
    • one year ago
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    I see

  6. welshfella
    • one year ago
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    now the ratios of the area will be the squares of these number 3^2 : 4^2

  7. Jupiter500
    • one year ago
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    So it's the simplest form of the scale factor and then you square those numbers

  8. welshfella
    • one year ago
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    yes - i leave you to work out the squares then the volume ratio will be 3^3 : 4^3

  9. Jupiter500
    • one year ago
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    Oh okay. Ya i can do the squares.

  10. welshfella
    • one year ago
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    to find the volume of the smallest pyramid you can wirite 2 fractions |dw:1433873539452:dw|

  11. welshfella
    • one year ago
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    Find x

  12. Jupiter500
    • one year ago
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    So like the ratio would be 3^3 which would be 24 and 4^3 which would be 64 for c?

  13. welshfella
    • one year ago
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    27:64 yes

  14. Jupiter500
    • one year ago
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    alright cool and then the last one i need to solve for the smaller pyramid

  15. welshfella
    • one year ago
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    yes x is the volume of smaller pyramid

  16. welshfella
    • one year ago
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    no your calculations are wrong somewhere its eas y if you write it this way |dw:1433874159799:dw|

  17. Jupiter500
    • one year ago
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    it would be 27

  18. welshfella
    • one year ago
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    yea

  19. welshfella
    • one year ago
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    thats ok

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