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.​

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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