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Chris Robin is building a 1 room log cabin. Each log is 75.4

inches in diameter and 4 yards long. Chris wants the walls to
be 14 feet high.
2 of the walls will be 2 logs long (2 logs end to end for total
length) and the other 2 walls will have 1 log in between the
longer walls.
Refer to the diagram.
How many logs must Chris use to get the height he wants for
the cabin? How many for each row and how many total?
What is the size of the room inside the cabin in feet?
What is the exterior dimensions of the cabin in feet?

Chris Robin is building a 1 room log cabin. Each log is 75.4 inches in diameter and-example-1
User AJRohrer
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1 Answer

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8.88 logs

4 logs for each of the two longer walls, 2 logs for each of the two shorter walls, and 12 logs total

5.7 feet

18.3 feet .

Logs needed for the height of the cabin

Each log is 75.4 inches in diameter, which is equal to 6.3 feet.

Chris wants the walls to be 14 feet high, so he will need 14 / 6.3 = 2.22 logs per row.

Since he has 4 walls, he will need 2.22 * 4 = 8.88 logs to get the height he wants for the cabin.

Logs needed for each row and total

Two of the walls will be 2 logs long, so he will need 2 * 2 = 4 logs for each of those walls.

The other two walls will have 1 log in between the longer walls, so he will need 1 * 2 = 2 logs for each of those walls.

In total, Chris will need 4 + 4 + 2 + 2 = 12 logs to build the cabin.

Size of the room inside the cabin in feet

The interior dimensions of the cabin will be equal to the length of the logs minus the diameter of the logs.

Each log is 4 yards long, which is equal to 12 feet.

The diameter of each log is 6.3 feet.

Therefore, the interior dimensions of the cabin will be 12 - 6.3 = 5.7 feet.

Exterior dimensions of the cabin in feet

The exterior dimensions of the cabin will be equal to the length of the logs plus the diameter of the logs.

Each log is 4 yards long, which is equal to 12 feet.

The diameter of each log is 6.3 feet.

Therefore, the exterior dimensions of the cabin will be 12 + 6.3 = 18.3 feet.

User Bhargav Rao
by
7.1k points