Geometry

What is the lateral surface area of the prism?

Rectangular prism
Length: 17.2
Width: 3
Height: 5.5

283.8 m^2
292.4 m^2
325.4 m^2
407 m^2

I already found the surface area (325.4 m^2) and I'm using the formula for lateral surface area 2lh + 2wh... but I keep getting 222.2 which is not an option!:( Please tell me what I am doing wrong? Thanks

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  1. 17.2 * 5.5 * 2 = 189.2
    3 * 5.5 * 2 = 33

    I get the same answer. Check with your teacher.

    http://www.nelson.com/school/elementary/mathK8/quebec/0176237879/documents/NM8SB_11A.pdf

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    Ms. Sue
  2. We were taught this way:
    SA=LA+2B

    LA=ph
    p=perimeter of the base

    So with that it would be set up like this: (2(17.2)+2(3))5.5+2(17.2*3)
    And the answer would be 325.4 m^2

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  3. Oh! Sorry, I saw surface area and messed up. I apologize.

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  4. so if you read the question carefully enough it says at the top: assume that the 3 x 5.5 m rectangles on the right and left are the bases. that means that 17.2 is the height.
    LA=(2L + 2 W)H
    LA=(2 x 3 + 2 x 5.5)17.2
    LA=(6+11)17.2
    LA=(17)17.2
    LA=292.4
    so the answer is 292.4m^2
    HOPE THAT HELPS!!!

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