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cutie_pie_1213

  • 2 years ago

The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas? 8:27 2:5 4:9 1:0.33

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  1. annas
    • 2 years ago
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    its 4:9

  2. cutie_pie_1213
    • 2 years ago
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    A rectangular prism is truncated removing 10% of its height. The original height of the prism was 100 meters and it has a length of 4 meters and a width of 20 meters. What is the volume of the truncated prism? 800 m3 4,200 m3 3,800 m3 7,200 m3

  3. annas
    • 2 years ago
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    vol = l*w*h vol = 4*20*100 vol = 8000 m^3

  4. annas
    • 2 years ago
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    as we are reducing 10% of its height so h= 90 so vol = 7,200m^3

  5. annas
    • 2 years ago
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    answer is 7200m^3

  6. annas
    • 2 years ago
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    hope you got it :)

  7. cutie_pie_1213
    • 2 years ago
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    What is the similarity ratio of two cubes with volumes of 125 cubic meters and 216 cubic meters? 125:216 25:36 1:3 5:6

  8. annas
    • 2 years ago
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    answer is 5:6

  9. cutie_pie_1213
    • 2 years ago
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    last one :) Part 1: Create and provide the dimensions for two similar figures of your choosing. Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume? Part 3: Show your work, either using the actual volumes or using the formula, that the volume ratio is true.

  10. annas
    • 2 years ago
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    need time for this one

  11. cutie_pie_1213
    • 2 years ago
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    alright:)

  12. annas
    • 2 years ago
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    first part: let, fig 1 fig2 L=2 cm L=4cm W=4 cm W=8cm H=5 cm H=10cm part 2: The first fig is half the size of the second fig so their similarity ratio would be 1:2 Surface Area of a Rectangular Prism = 2lh + 2hw + 2lw fig1 surface area = 75cm^2 fig2 surface area = 304cm^2

  13. cutie_pie_1213
    • 2 years ago
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    omg ur a life savior right now

  14. annas
    • 2 years ago
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    i m kinda tired right now lol can you solve the third part ???

  15. cutie_pie_1213
    • 2 years ago
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    yess

  16. annas
    • 2 years ago
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    ok you just have to find the ratios of their area and volume

  17. telliott99
    • 2 years ago
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    Maybe you'd like a reason for the first answer.. http://www.andrews.edu/~calkins/math/webtexts/geom10.htm Lateral Area of a prism: perimeter × height Since the perimeter is a linear function of length + width, the perimeter is scaled by r, and the height is scaled by r as well, so there will be a factor of r^2 in the final answer. What is \[(\frac{2}{3})^2\]

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