A block of metal has a mass of 18.361kg and the following dimensions: 22.35 cm x 7.34 cm x 22.05 mm. What is the density of the metal in g/c

Question

A block of metal has a mass of 18.361kg and the following dimensions: 22.35 cm x 7.34 cm x 22.05 mm. What is the density of the metal in g/cm^3

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Khánh Gia 5 years 2021-08-18T06:10:09+00:00 1 Answers 23 views 0

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  1. thaiduong
    0
    2021-08-18T06:11:14+00:00
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    Answer:

    50.76 g/cm³

    Explanation:

    We’ll begin by converting 18.361 Kg to g. This can be obtained as follow:

    1 Kg = 1000 g

    Therefore,

    18.361 Kg = 18.361 Kg × 1000 g / 1 Kg

    18.361 Kg = 18361 g

    Next, we shall express the dimension in the same unit of measurement.

    Dimension = 22.35 cm x 7.34 cm x 22.05 mm

    Thus, we shall convert 22.05 mm to cm. This can be obtained as follow:

    10 mm = 1 cm

    Therefore,

    22.05 mm = 22.05 mm × 1 cm / 10 mm

    22.05 mm = 2.205 cm

    Thus, the dimension is 22.35 cm x 7.34 cm x 2.205 cm.

    Next, we shall determine the volume of the metal. This can be obtained as follow:

    Dimension = 22.35 cm x 7.34 cm x 2.205 cm.

    Volume = 361.728045 cm³

    Finally, we shall determine the density of the metal. This can be obtained as follow:

    Mass of metal = 18361 g

    Volume of metal = 361.728045 cm³

    Density of metal =?

    Density = mass / volume

    Density of metal = 18361 / 361.728045

    Density of metal = 50.76 g/cm³

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