A pencil manufacturer makes a giant model pencil, 3m long. A real pencil is 18cm long and has a volume of 9cm(cube). Find the volume in m(cu

Question

A pencil manufacturer makes a giant model pencil, 3m long. A real pencil is 18cm long and has a volume of 9cm(cube). Find the volume in m(cube) of the giant model.

NOTE: EXPLANATION IS REQUIRED.​

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Thái Dương 1 year 2021-08-31T14:22:04+00:00 1 Answers 16 views 0

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  1. nguyetanh
    0
    2021-08-31T14:23:31+00:00
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    Answer:

    We always need an equation relating the given information to what is to be found. With this problem, we must assume that the giant model is proportional to the standard pencil.

    3 m: 18 cm :: Vg:9 cm^3 where Vg is the volume of the giant pencil.

    Before any calculations are performed all units must be the same.

    The 3 m large pencil must be converted to cm. Each meter is 100 centimeters. Therefore: the proportion must be adjusted to:

    300 cm : 18 cm :: Vg : 9 vm^3

    300/18 = Vg/9 Now solve.

    300 x 9 = 18 Vg By cross multiple

    2700 = 18 Vg Divide both sides by 18

    Vg = 2700/18 = 150 cm^3 = 0.00015 m^3

    Conversion Factor: 1 cm^3 = 10^-6 m^3 Divide by 10^6.

    Now Double Check

    Step-by-step explanation:

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