Here’s a fun math problem for you iron workers (current and future) out there!

The formula for calculating the weight of iron is:

- 1” x 12” x 1
**2” =**40 Lbs

The dimensions of this plate shown in the picture below are:

- 3’9” x 3’2” x 8”

The plate also has 13 holes with a diameter of 2.5”.

What is the weight of this plate?

See below for hints…

Find the volume of the 40 pound plate of Iron

- Calculate the weight per cubic inch of Iron
- Calculate the volume of the Iron plate in the picture without holes.
- Calculate the volume of the holes.
- Find the total volume of the plate in the picture with the holes.
- Find the weight of the plate in the picture.

See below for the answer…

Volume of a plate = Height * Width * Depth

Volume of a Cylinder = π * radius * height

- volume of the 40 pound plate of Iron: 144 in^3
- weight per cubic inch of Iron: 40 / 144 = 0.278 lbs
- volume of the Iron plate in the picture without holes: 8 * 45 * 38 = 13680 in^3
- Calculate the volume of the holes: 13 * 39.2699 = 510.5087 in^3
- volume of the plate in the picture with the holes: 13169.4913 in^3
- Weight of the plate in the picture: 3658.192028 pounds

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