High School

A solid rectangular piece of metal measures 3m long, 1.5m wide, and 3cm thick . Find the weight of this piece if a cubic centimetre of the metal weighs 7g

Answer :

Final answer:

The weight of the rectangular piece of metal is found by determining the volume in cubic centimeters and then multiplying by the weight per cubic centimeter. The final answer comes out to be 9450000g or 9450 kg.

Explanation:

The first step is to find the volume of the rectangular piece of metal by multiplying the three dimensions. Those dimensions need to be consistent, so let's convert meters to centimeters: 1 meter = 100 cm. So, the length is 300cm, the width is 150cm, and the thickness is 3cm. Multiply these together: 300cm * 150cm * 3cm = 1350000 cubic centimeters.

Since the weight of a cubic centimeter of the metal weighs 7g, you multiply the weight per cubic centimeter by the total cubic centimeters to get the total weight: 7g * 1350000 = 9450000g. So the weight of the rectangular piece of metal is 9450000g or 9450 kg (1kg = 1000g).

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