Alexis wants to make a paperweight at pottery class. He designs a pyramid-like mode l with a base area of 100 square centimeters and a heigh

Question

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like mode l with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight.

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Elliana 3 weeks 2021-11-14T01:28:27+00:00 1 Answer 0 views 0

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    2021-11-14T01:29:32+00:00

    Answer:

    \frac{3}{2} g/cm²

    Step-by-step explanation:

    First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3

    B = 100 cm²

    h = 6 cm

    V = 100 cm² * 6 cm /3

    V = 600 cm³ /3

    V = 200 cm³

    Next, we need to solve for the density based on the desired volume and mass.

    m = mass = 300 g

    V = volume

    density = m/V

    density = 300 g / 200 cm³

    density = 3/2 g/cm³

    The lowest possible density of the material to make the paperweight would be \frac{3}{2} g/cm²

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