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A machine 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

Respuesta :

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Answer:

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

Answer:

814

Step-by-step explanation:

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