How many WHOLE gallons of paint would be needed to paint a two-story house 69 ft long, 55 ft wide,and 68 ft high if each gallon covers an area of 300 square feet.
To calculate the total area of the house that needs to be painted, we need to find the sum of the areas of the four walls and the roof.
The area of each wall can be calculated using the formula: length * height.
So, the total area of the four walls is: 2 * (length * height) + 2 * (width * height)
= 2 * (69 ft * 68 ft) + 2 * (55 ft * 68 ft)
= 2 * 4692 ft² + 2 * 3740 ft²
= 9376 ft² + 7480 ft²
= 16,856 ft²
The area of the roof can be calculated using the formula: length * width.
So, the area of the roof is: 69 ft * 55 ft = 3,795 ft².
The total area of the house that needs to be painted is: 16,856 ft² + 3,795 ft² = 20,651 ft².
Now, we divide the total area by the coverage of one gallon of paint to determine the number of gallons needed: 20,651 ft² / 300 ft² = 68.84.
Since we need whole gallons, we will round up to the nearest whole number.
Thus, approximately 69 whole gallons of paint would be needed to paint the two-story house.
To calculate the number of whole gallons of paint needed to paint a two-story house, we first need to determine the total surface area of the house.
1. Calculate the area of each side of the house:
- The front and back sides: 69 ft (length) x 68 ft (height) = 4,692 square feet each.
- The two smaller sides: 55 ft (width) x 68 ft (height) = 3,740 square feet each.
- The two larger sides: 69 ft (length) x 55 ft (width) = 3,795 square feet each.
2. Add up the areas of all sides to determine the total surface area:
4,692 + 4,692 + 3,740 + 3,740 + 3,795 + 3,795 = 24,454 square feet.
3. Divide the total surface area by the coverage provided by one gallon of paint:
24,454 square feet / 300 square feet/gallon = 81.5133 gallons.
4. Since we are looking for the number of whole gallons, round up the result to the nearest whole number:
Rounded up, the number of whole gallons of paint needed is 82 gallons.
So, you would need around 82 whole gallons of paint to cover a two-story house with the given dimensions, assuming each gallon covers an area of 300 square feet.
To find the number of gallons of paint needed to paint the house, we first need to calculate the surface area that needs to be covered.
The surface area of each side of the house can be calculated by multiplying the length and height. Since there are four sides to the house, we will calculate the total surface area by multiplying this value by four.
Surface area of each side = length * height
Surface area of each side = 69 ft * 68 ft
Next, we need to account for the area of the two-story house. Since there are two floors, the area of each side needs to be multiplied by two.
Total surface area = (Surface area of each side * number of sides) * number of floors
Total surface area = (69 ft * 68 ft * 4) * 2
Now, we can calculate the number of gallons of paint needed. We know that each gallon can cover an area of 300 square feet.
Number of gallons = Total surface area / Area covered by each gallon
Number of gallons = (Total surface area) / (300 square feet/gallon)
You can now substitute the values into the equations to get the result.
Number of gallons = [(69 ft * 68 ft * 4) * 2] / 300 square feet
After performing the calculation, you will obtain the number of whole gallons of paint needed to paint the two-story house.