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

Answer 1

To determine how many pints of paint the skateboard club will need to purchase, we first need to calculate the total surface area of the ramp.

Let's break down the ramp into its individual shapes:

1. The rectangular base: 10 ft x 4 ft
2. The triangular incline: 5 ft x 4 ft
3. The rectangular top: 10 ft x 4 ft

1. Area of the rectangular base:
Area = length x width
Area = 10 ft x 4 ft
Area = 40 square feet

2. Area of the triangular incline:
Area = 0.5 x base x height
Area = 0.5 x 5 ft x 4 ft
Area = 10 square feet

3. Area of the rectangular top:
Area = length x width
Area = 10 ft x 4 ft
Area = 40 square feet

Total surface area of the ramp = 40 + 10 + 40 = 90 square feet

Convert square feet to square inches:
1 square foot = 144 square inches
90 square feet = 90 x 144 = 12,960 square inches

Now, we know that 1 pint of paint covers 200 square inches. So, to find out how many pints of paint the club will need to purchase:
12,960 square inches ÷ 200 square inches/pint = 64.8 pints

Since paint is only sold in whole pints, the skateboard club will need to purchase 65 pints of paint.