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1 April, 12:53

Justine wants to wrap a shipping box shaped like a rectangular prism. The box is 28 inches tall and has a square base with sides that each measure 2 inches. How much paper did she use?

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Answers (2)
  1. 1 April, 13:06
    0
    The amount of paper Justine used is 232 in²

    Step-by-step explanation:

    Here we have, height, H of box = 28 in

    Base of box = Square base with side = 2 in

    Therefore, width, W of box = 2 in

    Length, L of box = 2 in

    The amount of paper wrap that Justine require = The amount of paper Justine used = Surface area of shipping box

    Surface area of shipping box = 2 * L * W + 2 * L * H + 2 * W * H

    = 2·L·W + 2·L·H + 2·W·H = 2·2·2 + 2·2·28 + 2·2·28 = 8 + 112 + 112 = 232 in²

    ∴ The amount of paper Justine used = 232 in².
  2. 1 April, 13:22
    0
    The amount used is 116 sq. inch of paper

    Step-by-step explanation:

    Here, we are to calculate the amount of paper used to wrap a shipping box that is shaped like a rectangular prism

    .

    To answer this question, we shall be calculating the surface area of that box which is equivalent to the area of the paper that was used.

    Mathematically, the surface area of a rectangular prism can be calculated using the mathematical formula below;

    A = 2 (lw + hl + hw)

    where l, h and w are the length, height and width respectively. Since the base is a square, it means that the width and the length are the same 2 inches. The height is given as 28 inches.

    we plug these values into the equation;

    A = 2 ((28*2) + (28*2) + (2 * 2)) = 56 + 56 + 4 = 116 sq. inch
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