First, we need to calculate the total surface area of the ramp that needs to be painted. The ramp is in the shape of a triangle with one side being 10 inches long, the height being 6 inches, and the base being 8 inches.
The area of a triangle can be calculated using the formula:
Area = 0.5 x base x height
Plugging in the values:
Area = 0.5 x 8 x 6
Area = 24 square inches
Now, we need to calculate the area of the rectangular part of the ramp. The dimensions of the rectangle are 19 inches wide and 10 inches long.
The area of a rectangle can be calculated using the formula:
Area = length x width
Plugging in the values:
Area = 19 x 10
Area = 190 square inches
Now, we can add the areas of the triangle and the rectangle to find the total surface area of the ramp:
Total surface area = 24 + 190
Total surface area = 214 square inches
Now, we can calculate the number of pints of paint needed by dividing the total surface area by the coverage of one pint of paint:
Number of pints = Total surface area / Coverage per pint
Number of pints = 214 / 200
Number of pints ≈ 1.07
Since paint is only sold in whole pints, the skateboard club will need to purchase 2 pints of paint to cover the entire ramp.
6 in. tall 8 in. long 19 in. wide 10 in. long triangle side
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.
3 answers
wrong
Apologies for the mistake in my previous response.
Let's recalculate the total surface area of the ramp and the number of pints of paint needed:
1. The area of the triangle:
Area_triangle = 0.5 x base x height
Area_triangle = 0.5 x 10 x 6
Area_triangle = 30 square inches
2. The area of the rectangle:
Area_rectangle = length x width
Area_rectangle = 10 x 19
Area_rectangle = 190 square inches
3. Total surface area:
Total_surface_area = Area_triangle + Area_rectangle
Total_surface_area = 30 + 190
Total_surface_area = 220 square inches
4. Number of pints needed:
Number of pints = Total_surface_area / Coverage per pint
Number of pints = 220 / 200
Number of pints = 1.1
Since paint is only sold in whole pints, the skateboard club will need to purchase 2 pints of paint to cover the entire ramp.
Let's recalculate the total surface area of the ramp and the number of pints of paint needed:
1. The area of the triangle:
Area_triangle = 0.5 x base x height
Area_triangle = 0.5 x 10 x 6
Area_triangle = 30 square inches
2. The area of the rectangle:
Area_rectangle = length x width
Area_rectangle = 10 x 19
Area_rectangle = 190 square inches
3. Total surface area:
Total_surface_area = Area_triangle + Area_rectangle
Total_surface_area = 30 + 190
Total_surface_area = 220 square inches
4. Number of pints needed:
Number of pints = Total_surface_area / Coverage per pint
Number of pints = 220 / 200
Number of pints = 1.1
Since paint is only sold in whole pints, the skateboard club will need to purchase 2 pints of paint to cover the entire ramp.
1 answer