what is the cost of the lumber if the thickness is 2',width is 12',lenght is 120' if the price per board foot is 80 pesos

are you sure it is 2 feet thick and 12 feet wide?

I will assume 2" and 12"
that is 2 board feet per foot (2 inches thick by 1 foot wide)
so 240 board feet
*80 =19,200 pesos

4840

To determine the cost of the lumber, we need to know the volume of the lumber in board feet, and then multiply it by the price per board foot.

First, let's calculate the volume of the lumber. The volume formula for a rectangular solid is:

Volume = Length × Width × Thickness

Given:
Thickness = 2 feet
Width = 12 feet
Length = 120 feet

Now, substitute the values into the formula:

Volume = 120 ft × 12 ft × 2 ft = 2,880 cubic feet

To convert the volume from cubic feet to board feet, we need to divide by 12 since 1 board foot is equal to 1 cubic foot.

Board Feet = Volume / 12
Board Feet = 2,880 ft³ / 12 ft³/board = 240 board feet

Finally, we can calculate the cost by multiplying the board feet by the price per board foot:

Cost = Board Feet × Price per Board Foot
Cost = 240 board feet × 80 pesos/board foot = 19,200 pesos

So, the cost of the lumber would be 19,200 pesos.