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18 July, 08:05

The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 meter wide, 3 meters long, and 4 centimeters thick. Which of the following equations will give you its mass, in kilograms?

a. 2.75 g/cm^3 * 1m * 3m x (100cm/1m) ^2 * 4cm * 1kg/1000g

b. 2.75 g^3/cm^3 * 1m * 3m * (100cm/1m) ^2 * 4cm * (1kg/1000g) ^3

c. 2.75 g/cm^3 * 1m * 3m * 4cm * 1000g/1kg

d. 2.75 g/cm^3 * 1m * 3m * 4cm * 1kg/1000g

e. 2.75 g/cm^3 * 1m * 3m * (1m/100cm) ^2 * 4cm * 1kg/1000g

f. 2.75 g/cm^3 * 1m * 3m * 4cm * 1m/100 cm * 1kg/1000g

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Answers (1)
  1. 18 July, 08:30
    0
    option d

    Step-by-step explanation:

    Data provided:

    density = 2.75 g/cm³

    Width, W = 1 m = 1 * 1000 cm

    Length, L = 3 m = 3 * 1000 cm

    Thickness, t = 4 cm

    now,

    volume = L * W * t

    = 1m * 3m * 4 cm

    also,.

    Mass = Density * Volume

    or

    Mass in grams = 2.75 g/cm³ * (1m * 3m * 4 cm)

    Also,

    1 kg = 1000 grams

    or

    1 gram = 1 / 1000 kg

    Therefore,

    Mass in Kg = 2.75 g/cm³ * (1m * 3m * 4 cm) * 1kg/1000g

    Hence,

    the correct answer is option d
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