Final answer:
To achieve a height of 14 feet for the cabin walls, Chris will need a total of 10 logs - 4 for the longer walls and 6 for the shorter walls. The size of the room inside the cabin is 20 yards by 8 yards. The exterior dimensions of the cabin are 62 feet by 50 feet.
Step-by-step explanation:
To calculate the number of logs Chris needs to achieve the desired height of 14 feet for the cabin walls, we need to determine the number of logs required for each row and for the entire cabin.
For the longer walls that are 2 logs long, there will be a total of 2 logs per row. Since there are 2 longer walls, we multiply by 2 to get a total of 4 logs.
For the shorter walls, there is 1 log in between the longer walls. So each row will have 3 logs (2 longer logs + 1 shorter log). Since there are 2 shorter walls, we multiply by 2 to get a total of 6 logs.
In total, Chris will need 4 logs for the longer walls and 6 logs for the shorter walls, giving a total of 10 logs.
The size of the room inside the cabin can be calculated by multiplying the length and width of the cabin. Each log is 4 yards long, so the length of the cabin will be 4 yards multiplied by the number of logs in one row.
Since each row has 2 logs for the longer walls and 3 logs for the shorter walls, the length of the cabin will be 4 yards x (2 + 3) = 20 yards. Similarly, the width of the cabin will be 4 yards x 2 = 8 yards.
The exterior dimensions of the cabin can be calculated by adding the height of the walls to the length and width of the cabin. The height of the walls is given as 14 feet.
So the exterior length will be 20 yards + 14 feet = 20 yards + 42 feet
= 62 feet.
And the exterior width will be 8 yards + 14 feet = 8 yards + 42 feet
= 50 feet.