Amachine shop has an order for 300 solid steel parts to be used on a series of pipeline valve systems. each part has a volume of 900 cubic centimeters. the cost of the steel is $0.37 per kilogram. the density of the steel is 8.15 g cm3 . what is the cost of the steel for the 300 solid steel parts to the nearest whole dollar? a) $799 b) $814 c) $844 d) $863

B) $814

Explanation:

Step 1. Calculate the volume of the parts.

Start with what you know: you have an order for 300 steel parts.

The next piece of information about the parts is their volume.

900 cm³ = 1 part.             Calculate the volume

V = 300 × 900/1

V = 270 000 cm³

Step 2. Calculate the mass of the parts.

8.15 g = 1 cm³                   Calculate the mass

m = 270 000 × 8.15/1

m = 2 200 500 g

Step 3. Convert the mass to kilograms

1 kg = 1000 g                   Convert to kilograms

m = 2 200 500 × 1/1000

m = 2 200.5 kg

Step 4. Calculate the total cost

$0.37 = 1 kg                     Calculate the cost

C = 2 200.5 × 0.37/1

C = $814

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