Keith is cutting two circular table tops out of a piece of plywood. the plywood is 4 feet by 8 feet

Discussion in 'Calculator Requests' started by math_celebrity, Dec 3, 2022.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Keith is cutting two circular table tops out of a piece of plywood. the plywood is 4 feet by 8 feet and each table top has a diameter of 4 feet. If the price of a piece of plywood is $40, what is the value of the plywood that is wasted after the table tops are cut?

    Area of the plywood = 4 * 8 = 32 square feet

    Calculate area of 1 round top
    Diameter = 2
    Radius = Diameter/2 = 4/2 = 2
    Area of each round top = pir^2
    Area of each round top = 3.14 * 2 * 2
    Area of each round top = 12.56 square feet

    Calculate area of 2 round tops
    Area of 2 round tops = 12.56 + 12.56
    Area of 2 round tops = 25.12 sq feet

    Calculate wasted area:
    Wasted area = area of the plywood - area of 2 round tops
    Wasted area = 32 - 25.12
    Wasted area = 6.88 sq feet

    Calculate cost per square foot of plywood:
    Cost per sq foot of plywood = Price per plywood / area of the plywood
    Cost per sq foot of plywood = 40/32
    Cost per sq foot of plywood = $1.25

    Calculate the value of the plywood:
    Value of the plywood = Wasted Area sq foot * Cost per sq foot of plywood
    Value of the plywood = 6.88 * 1.25
    Value of the plywood = $8.60
     

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