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27 May, 11:07

The altitude of the regular quadrilateral prism is h=13 cm and lateral area is AL = 624 cm2. Find: 1) The Surface Area of the prism; 2) The Volume of the prism.

1. The Surface Area is equal to

cm2

2. The Volume is equal to

cm3

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Answers (1)
  1. 27 May, 14:46
    0
    Lateral area: AL = 4 * s * h

    624 = 4 * s * 13

    624 = 52 s

    s = 624 : 52

    s = 12 cm

    The surface area of the prism:

    A = 2 ·12² + 624

    A = 2 · 144 + 624 = 288 + 624 = 912 cm²

    The volume:

    V = a² · h = 12² · 13 = 144 · 13 = 1,872 cm³

    Answer:

    1. The surface area is equal to 912 cm².

    2. The volume is equal to 1,872 cm³.
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