A cookie sheet measures 13 x 9 inches. If each cookie has a diameter of 3 inches, how many cookies could fit on the sheet? You need to allow for 1/4 inch around each cookie.
9 / 3.5 = 2.6 = 2 across
13 / 3.5 = 3.7 = 3 down
2 * 3 = 6 cookies
thanks again sue!
You're welcome, Julie.
To calculate the number of cookies that can fit on the cookie sheet, we need to determine the usable area on the sheet after accounting for the space required around each cookie.
1. Calculate the usable length:
- Subtract the total space required around each cookie from the length of the sheet.
- Usable length = sheet length - (2 * space required)
In this case: Usable length = 13 inches - (2 * 0.25 inches) = 13 inches - 0.5 inches = 12.5 inches
2. Calculate the usable width:
- Subtract the total space required around each cookie from the width of the sheet.
- Usable width = sheet width - (2 * space required)
In this case: Usable width = 9 inches - (2 * 0.25 inches) = 9 inches - 0.5 inches = 8.5 inches
3. Calculate the area of each cookie:
- The area of a circle can be calculated using the formula A = π * r^2, where r is the radius of the circle.
- In this case, the radius of the cookie is half of its diameter, so the radius = 3 inches / 2 = 1.5 inches.
- Calculate the area of the cookie: A = π * (1.5 inches)^2
4. Calculate the area of the usable space on the cookie sheet:
- Multiply the usable length and usable width: Area = usable length * usable width
5. Divide the area of the usable space on the cookie sheet by the area of each cookie:
- Number of cookies = Area of usable space / Area of each cookie
Let's calculate it:
Usable length = 12.5 inches
Usable width = 8.5 inches
Area of each cookie = π * (1.5 inches)^2
Area of usable space = Usable length * Usable width
Number of cookies = Area of usable space / Area of each cookie