Gina is tying up a stack of newspapers with string. She wants the string to wrap around twice, once lengthwise and once crosswise. If the stack of newspapers is 11 inches wide, 13 inches long, and 15 inches high, how much string will she need?
4(11 + 13 + 15) = ?
To determine how much string Gina will need, we can calculate the total length that the string must cover.
First, let's find the length of the string needed to wrap around the stack lengthwise. The lengthwise wrap is equal to the sum of the lengths of the top and bottom surfaces of the stack. Therefore, the lengthwise wrap is 2 * (11 + 13) inches.
Next, let's calculate the length of the string needed to wrap around the stack crosswise. The crosswise wrap is equal to the sum of the widths and heights of the stack sides. Therefore, the crosswise wrap is 2 * (11 + 15) inches.
Now, we can calculate the total length of string needed by adding the lengthwise and crosswise wraps together:
Total length of string needed = lengthwise wrap + crosswise wrap.
Using the values above:
Total length of string needed = 2 * (11 + 13) + 2 * (11 + 15) inches.
Simplifying the expression, we get:
Total length of string needed = 2 * 24 + 2 * 26 inches.
Calculating further:
Total length of string needed = 48 + 52 inches.
Finally, we can calculate the total length of string needed:
Total length of string needed = 100 inches.
So, Gina will need 100 inches of string to wrap around the stack of newspapers.