The weight of a 24 ft², 2 inch thick aluminum plate with a unit weight of 15 lbs is 720 lbs.
The problem can be solved using 2 methods.
1. Unitary method.
Given the value of a single unit, then,
Value of k units = k units ⨉ value of a single unit
Parameters given in the problem:
Unit weight of 1 square ft. 1 inch thick aluminum plate = 15 lbs
24 square ft. 2 inch thick aluminum = 24 x 2 = 48 units.
Hence,
Weight of 48 units = 48 ⨉ 15 = 720 lbs.
2. Specific weight method.
The relation between weight and specific weight is given in the formula:
Weight = specific weight ⨉ volume.
From the problem,
specific weight of aluminum = 15 lbs/(ft².in)
volume = 24 ft² ⨉ 2 in. = 48 ft².in
Plug the parameters into the formula:
Weight = 15 x 48 = 720 lbs
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