A swimming pool is 15 by 30 feet and a consistent 5 feet deep. You are painting the
walls and floor of the pool. If a gallon can of paint covers 250 square feet, how many
gallon cans would you need to buy?
bottom: 15*30=450 ft^2
sides: 2*15*5 + 2*30*5 = 450 ft^2
So, now you know the total area, and how much each can will cover...
Hi, I am still confused because if the total area is 450 square feet and 1 can of paint covers 250 square ft. the answer is 4 gallons I know that much but the problem and math does not show that. Can you please explain. Thank you
A = 2*(15*5) + 2(30*5) + 30*15=900 Ft^2.
= Total area to be painted.
900Ft^2 * 1gal/250Ft^2 = 3.6 Gal. of
paint needed. Buy 4-1gal. cans.
Well, let's calculate the total surface area of the walls and floor of the pool first.
The surface area of the walls is calculated by multiplying the height (5 feet) by the perimeter of the pool (2 times the length plus 2 times the width). In this case:
Perimeter = 2(15) + 2(30) = 30 + 60 = 90 feet
Wall surface area = 5 * 90 = 450 square feet
Now let's calculate the surface area of the floor, which is simply the length times the width:
Floor surface area = 15 * 30 = 450 square feet
To find the total surface area, we add the wall and floor surface areas:
Total surface area = Wall surface area + Floor surface area
Total surface area = 450 + 450 = 900 square feet
Now, since a gallon can of paint covers 250 square feet, we can divide the total surface area by the coverage of one gallon:
Number of gallon cans = Total surface area / Coverage of one gallon
Number of gallon cans = 900 / 250 = 3.6
So, you would need to buy around 3.6 gallon cans of paint. However, since you can't buy a fraction of a gallon, you would need to buy 4 gallon cans to have enough paint to cover the entire swimming pool.
Keep in mind that this is just an approximation, and it's always better to have a little extra paint than not enough. Plus, you might have a few touch-ups or spills along the way!
To find out how many gallon cans of paint you would need to buy, you first need to calculate the total surface area of the walls and floor of the swimming pool.
The pool has a length of 15 feet, a width of 30 feet, and a depth of 5 feet. To calculate the surface area of the walls, you need to find the perimeter of the pool and multiply it by the height.
Perimeter of the pool = 2(length + width)
Perimeter of the pool = 2(15 + 30)
Perimeter of the pool = 2(45)
Perimeter of the pool = 90 feet
To calculate the surface area of the pool's walls, multiply the perimeter by the height:
Surface area of the walls = Perimeter of the pool * height
Surface area of the walls = 90 * 5
Surface area of the walls = 450 square feet
Now, to find the surface area of the floor, simply multiply the length and width:
Surface area of the floor = length * width
Surface area of the floor = 15 * 30
Surface area of the floor = 450 square feet
To get the total surface area of the pool, add the surface area of the walls and the surface area of the floor:
Total surface area of the pool = Surface area of the walls + Surface area of the floor
Total surface area of the pool = 450 + 450
Total surface area of the pool = 900 square feet
Since a gallon can of paint covers 250 square feet, you now divide the total surface area of the pool by the coverage of one gallon of paint:
Number of gallon cans needed = Total surface area of the pool / Coverage per gallon can of paint
Number of gallon cans needed = 900 / 250
Number of gallon cans needed = 3.6
So, you would need to buy 4 gallon cans of paint to cover the walls and floor of the swimming pool.