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  1. A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

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  2. see the explanation

    Step-by-step explanation:

    we know that

    The surface area of a prism is given by the formula

    [tex]SA=2B+PH[/tex]

    where

    B is the area of the base

    P is the perimeter of the base

    H is the height of the prism

    For both prism the formula is the same

    How is it different?

    Rectangular prism

    The area of the base is given by the formula

    [tex]A=LW[/tex] -----> is the area of rectangle

    where

    L is the length and W is the width of rectangle

    The perimeter of the base is given by

    [tex]P=2(L+W)[/tex] ---> is the perimeter of rectangle

    The height H is the same in both cases

    Triangular prism

    The area of the base is given by the formula

    [tex]A=\frac{1}{2} (b)(h)[/tex] -----> is the area of the triangular base

    where

    b is the base of triangle and h is the height of triangle

    The perimeter of the base is given by

    [tex]P=(a+b+c)[/tex] ---> is the perimeter of triangle

    where

    a, b and c are the length sides of triangle

    The height H is the same in both cases

  3. for PLATO users

    Step-by-step explanation:

    The area of the face of the rectangular prism as determined above is 7x2 − 7x + 3.

    Area = length x depth

    Length = area ÷ depth

    Therefore, the length is (7x2 − 7x +3) ÷ (x + 4)

    Using synthetic division, the coefficients of the polynomial are 7, −7, 3, and k = −4.

    − 4

    7

    − 7

    3

    − 28

    140

    7

    − 35

    143

    Therefore, the length of the rectangular prism is given by . 7x-35+143/x+4

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