The side of the podium measures 13" by 46" How many side pieces can we cut from a sheet of 3/4 plywood 4' by 8'? Show your work

I get 7.

8*12/13=7
actually, when cutting , one has to add the saw kerf (width of saw blade), normally 1/8 "

How many shelves 3/4 by 13" by 18" can we cut from a sheet of Oak Plywood 48" by 96"? Show your work

To find out how many side pieces can be cut from a sheet of plywood, we need to calculate the area of the plywood sheet and the area of each side piece, and then divide the total area of the plywood by the area of each side piece.

First, let's calculate the area of the plywood sheet:
The sheet measures 4' by 8', which can be converted into inches as follows:
4' = 4 * 12 = 48"
8' = 8 * 12 = 96"

The area of the plywood sheet is given by multiplying the length and width:
Area of plywood sheet = length * width = 48" * 96" = 4,608 square inches

Next, let's calculate the area of each side piece:
The side measures 13" by 46".

Area of each side piece = length * width = 13" * 46" = 598 square inches

Finally, let's divide the total area of the plywood sheet by the area of each side piece to find out how many side pieces can be cut from it:
Number of side pieces = Area of plywood sheet / Area of each side piece = 4,608 square inches / 598 square inches = 7.7 (rounded)

Therefore, you can cut 7 side pieces from the sheet of plywood.