If a piece of aluminum foil weighs 0.225 grams and has the length of 5.00 cm, and a width of 4.50 cm, Find the thickness of the foil in cent

Question

If a piece of aluminum foil weighs 0.225 grams and has the length of 5.00 cm, and a width of 4.50 cm, Find the thickness of the foil in centimeters. The density of aluminum is 2.70 g/cm^3.

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Cherry 3 years 2021-07-27T22:26:59+00:00 1 Answers 32 views 0

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    2021-07-27T22:28:03+00:00

    Solution :

    We know, density is :

    density = \dfrac{mass}{volume}

    Let, the thickness of foil is x cm.

    So, volume is :

    V = l\times b\times h\\\\V = 5\times 4.5 \times x\\\\V = 22.5 x

    Putting all these value in density formula, we get :

    2.70 = \dfrac{0.225}{22.5x}\\\\x = \dfrac{0.225}{22.5 \times 2.70}\\\\x = 0.0037 \ cm

    Hence, this is the required solution.

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