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31 August, 21:56

Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select

8 feet by 4 feet by 3 feet

7 feet by 6 feet by 4 feet

3 feet by 7 feet by 8 feet

3 feet by 6 feet by 7 feet

3 feet by 5 feet by 7 feet

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  1. 31 August, 22:52
    0
    The dimensions of the rectangular prism could be 8 feet by 4 feet by 3 feet or 3 feet by 5 feet by 7 feet.

    Step-by-step explanation:

    The formula for the surface area of the rectangular prism is given by,

    ⇒ 2lw + 2wh + 2hl

    where l is length, w is width and h is the height.

    Now, check for each given options whether the surface area is less than 160 or not.

    8 feet by 4 feet by 3 feet

    ⇒ 2 (8*4) + 2 (4*3) + 2 (3*8)

    ⇒ 64 + 24 + 48

    ⇒ 136 (less than 160)

    7 feet by 6 feet by 4 feet

    ⇒ 2 (7*6) + 2 (6*4) + 2 (4*7)

    ⇒ 84 + 48 + 56

    ⇒ 188 (Not less than 160)

    3 feet by 7 feet by 8 feet

    ⇒ 2 (3*7) + 2 (7*8) + 2 (8*3)

    ⇒ 42 + 112 + 48

    ⇒ 202 (Not less than 160)

    3 feet by 6 feet by 7 feet

    ⇒ 2 (3*6) + 2 (6*7) + 2 (7*3)

    ⇒ 36 + 84 + 42

    ⇒ 162 (Not less than 160)

    3 feet by 5 feet by 7 feet

    ⇒ 2 (3*5) + 2 (5*7) + 2 (7*3)

    ⇒ 30 + 70 + 42

    ⇒ 142 (less than 160)
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