The diagram represents a model of a ramp the skateboard club wants to create at the neighborhood skate park. If one pint of paint covers 200 square inches, how many pints of paint will the club need to purchase? Paint is only sold in whole pints.
Number of pints of paint=
10 pints of paint
Explanation:
To find the total amount of paint needed, first calculate the total area that needs to be covered by the paint. Looking at the diagram, the ramp consists of a rectangle (5 ft x 27 ft) and a triangle (3 ft x 5 ft x 4 ft).
Rectangle area = 5 ft x 27 ft = 135 sq ft
Triangle area = 0.5 x base x height = 0.5 x 5 ft x 4 ft = 10 sq ft
Total area = 135 sq ft + 10 sq ft = 145 sq ft
Since 1 square foot is equal to 144 square inches, the total area in square inches is 145 sq ft x 144 sq in = 20,880 sq in.
Dividing by the paint coverage per pint (200 sq in) gives 20,880 sq in ÷ 200 sq in/pint = 104.4 pints. Since paint is only sold in whole pints, the club will need to purchase 105 pints of paint.