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mvrc1996

  • 2 years ago

The total area of the rectangular prism shown is

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  1. mvrc1996
    • 2 years ago
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  2. jazy
    • 2 years ago
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    What do you need to find?

  3. mvrc1996
    • 2 years ago
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    the total are of that retangular

  4. mvrc1996
    • 2 years ago
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    i mean that prism

  5. jazy
    • 2 years ago
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    Ok, do you know the formula to find the area of a rectangle?

  6. mvrc1996
    • 2 years ago
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    the formula my math gives me to find the answer is total area= ph+2B

  7. jazy
    • 2 years ago
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    Right! Remember that a capital P = permeter of the base, and capital B = area of the base. A = Ph + 2B So lets find the perimeter and area of the base.|dw:1363050666823:dw|

  8. jazy
    • 2 years ago
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    Can you tell me what is the perimeter of the base?

  9. mvrc1996
    • 2 years ago
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    its not 6 is it?

  10. jazy
    • 2 years ago
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    No, that'd be the area though!

  11. mvrc1996
    • 2 years ago
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    okay how do i find the perimeter then?

  12. jazy
    • 2 years ago
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    Remember, the perimeter is the sum of all the sides. For rectangles, there is a simple formula 2* length + 2*width

  13. mvrc1996
    • 2 years ago
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    so its 10?

  14. jazy
    • 2 years ago
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    Right. (:

  15. mvrc1996
    • 2 years ago
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    okayyy that helps a lot now i k how to do it

  16. mvrc1996
    • 2 years ago
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    it ends up being 64 right?

  17. mvrc1996
    • 2 years ago
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    if you could stay on this question please incase i have simular questions to ask

  18. mvrc1996
    • 2 years ago
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    62 i meant

  19. jazy
    • 2 years ago
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    So we have: P = 6 B = 10 h = 5 A = Ph + 2B A = 6(5) + 2(10)

  20. jazy
    • 2 years ago
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    Sorry but I've gotta go. I'll be back in about 15-20 min.

  21. mvrc1996
    • 2 years ago
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    Find the total area of the prism.

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  22. jazy
    • 2 years ago
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    Same steps. A = Ph + 2B So lets find the perimeter and area of the base. |dw:1363053998087:dw|

  23. jazy
    • 2 years ago
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    Perimeter = 12 * 4 = ? Area = 12 * 12 = ?

  24. mvrc1996
    • 2 years ago
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    144

  25. mvrc1996
    • 2 years ago
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    nvm ik how to do that one i need help with another

  26. mvrc1996
    • 2 years ago
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    Find the lateral area for the prism.

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  27. jazy
    • 2 years ago
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    Great! Lateral area is the area of the faces, not including the bases of the figure. The formula for this is: LA = Ph (P = perimeter of the base) |dw:1363054464534:dw|We need to find the missing side length.

  28. mvrc1996
    • 2 years ago
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    how do i do that? i forget is it 8?

  29. jazy
    • 2 years ago
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    To do this we use the Pythagorean theorem: \[\large a^2 + b^2 = c^2\]Where a, b, and c are the side lengths. ****c always stands for the hypotenuse(longest side)**** So we have: \[\large 6^2 + 4^2 = c^2\]\[\large 36 + 16 = c^2\]\[\large 52 = c^2\]Find the square root to solve for c.\[\large \sqrt{52} =\sqrt{c^2}\]\[\large 7.211 = c\]

  30. jazy
    • 2 years ago
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    And now we find the perimeter: |dw:1363054954194:dw|

  31. mvrc1996
    • 2 years ago
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    so would the answer be 12+16(sqrt52)

  32. mvrc1996
    • 2 years ago
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    ?

  33. jazy
    • 2 years ago
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    Perimeter, you're simply adding all the sides. 6 + 7.2 + 4

  34. mvrc1996
    • 2 years ago
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    no i meant the final answer

  35. jazy
    • 2 years ago
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    LA = (17.2)(8)

  36. mvrc1996
    • 2 years ago
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    ugh im confused very confused

  37. mvrc1996
    • 2 years ago
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    this is what its asking me to fill in

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  38. jazy
    • 2 years ago
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    Oh wow. I'm sorry, hold on a second/

  39. mvrc1996
    • 2 years ago
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    okie dokie

  40. mathslover
    • 2 years ago
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    http://hotmath.com/hotmath_help/topics/surface-area-of-a-prism.html does this show anything?

  41. mathslover
    • 2 years ago
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    I think @jazy has done right

  42. mathslover
    • 2 years ago
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    but to express in the terms I am also confused.

  43. mathslover
    • 2 years ago
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    write it : \(\large{0 + 16\sqrt{13}}\) or \(\large{0 + 8\sqrt{52}}\)

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