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 12” = 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
Advertisements
