one quart of paint covers 100 sq ft. how many cubic inches of paint does it take to cover a wall with an area of 9600 sq in
To find out how many cubic inches of paint it takes to cover a wall with an area of 9600 square inches, we need to convert the area from square inches to square feet. Since 1 square foot is equal to 144 square inches, we divide 9600 by 144:
9600 sq in ÷ 144 sq in/sq ft = 66.67 sq ft
Now, we can calculate how many quarts of paint it takes to cover 66.67 square feet:
1 quart covers 100 square feet
So, to cover 66.67 square feet, we can use the following proportion:
1 quart / 100 square feet = x quarts / 66.67 square feet
Cross-multiplying, we have:
100 * x quarts = 1 * 66.67
x quarts = 66.67 / 100
x quarts = 0.6667 quarts
Therefore, it takes approximately 0.6667 quarts of paint to cover a wall with an area of 9600 square inches.
To solve this problem, we need to convert the wall area from square inches to square feet and then calculate the volume of paint required. Here's the step-by-step process:
Step 1: Convert the wall area from square inches to square feet.
Since there are 144 square inches in 1 square foot, we can divide 9600 square inches by 144 to get the area in square feet.
9600 sq in / 144 sq in/ft^2 = 66.67 sq ft
Step 2: Determine the amount of paint needed in quarts.
Given that 1 quart of paint covers 100 square feet, we can divide the wall area by 100 to find the required number of quarts.
66.67 sq ft / 100 sq ft/quart ≈ 0.67 quarts
Step 3: Convert the quarts of paint to cubic inches.
Since 1 quart is equal to 57.75 cubic inches, we can multiply the number of quarts by 57.75 to find the equivalent in cubic inches.
0.67 quarts * 57.75 cu in/quart = 39.2 cubic inches
Therefore, it would take approximately 39.2 cubic inches of paint to cover a wall with an area of 9600 square inches.
To find out how many cubic inches of paint it would take to cover a wall with an area of 9600 square inches, we first need to convert the square inches to square feet as the given information is in terms of quart per square foot.
1 square foot = 12 x 12 = 144 square inches
To convert 9600 square inches to square feet:
9600 square inches / 144 square inches per square foot = 66.67 square feet (rounded to two decimal places)
Now that we have the area in square feet, we can use the given information that one quart of paint covers 100 square feet.
So, to find out how many quarts of paint are needed to cover 66.67 square feet, we divide:
66.67 square feet / 100 square feet per quart = 0.67 quarts of paint.
Since we want to calculate the volume of paint in cubic inches, we need to convert quarts to cubic inches.
1 quart = 57.75 cubic inches (approximately)
Therefore,
0.67 quarts * 57.75 cubic inches per quart = 38.67 cubic inches (approximately).
So, it would take approximately 38.67 cubic inches of paint to cover the wall with an area of 9600 square inches.