Mia is building a thee sided shelter for her action figures. The shelter will resemble a rectangle with one of the long size removed she has boards that measure 36 inches 39 inches and 42 inches in length all the boards are the same width will need to convert some of these measurements into other imperial units to build a shelter the way she wants answer the following questions show your work
Question 2: for the roof of the shelter, Mia has a board that measures one square yard a second board that measures 3‘ x 3‘ and a3 board that measures 36“ x 36“ which of these if any will cover all the space needed for the roof Explain your answer 1 foot = 1/3 of a yard
To answer this question, we need to convert all the measurements to the same unit.
1 yard = 3 feet.
1 foot = 12 inches.
Now let's convert the board lengths:
36 inches = 36/12 = 3 feet.
39 inches = 39/12 = 3.25 feet.
42 inches = 42/12 = 3.5 feet.
Now let's convert the roof board measurements:
1 square yard = 3 feet x 3 feet.
3' x 3' = 3 feet x 3 feet.
36" x 36" = 36/12 = 3 feet x 36/12 = 3 feet x 3 feet.
From the above conversions, we can see that all the roof boards (1 square yard, 3' x 3', 36" x 36") measure the same size, which is 3 feet x 3 feet.
Therefore, any of these roof boards will cover all the space needed for the roof.
To determine which board will cover all the space needed for the roof, we need to convert the measurements to the same unit.
Given:
1 yard = 3 feet
1 foot = 12 inches
First, let's convert the measurements of the roof boards:
1 square yard = 3 feet x 3 feet = 9 square feet
3' x 3' = 3 feet x 3 feet = 9 square feet
36" x 36" = (36 inches/12) feet x (36 inches/12) feet = 3 feet x 3 feet = 9 square feet
All the boards have the same area of 9 square feet, so any of them will cover the required space for the roof.
To answer this question, we need to convert the given measurements to a consistent unit of measurement. Since all the boards are in inches, let's convert them to feet.
Convert 36 inches to feet:
36 inches = 36/12 = 3 feet
Convert 39 inches to feet:
39 inches = 39/12 = 3.25 feet
Convert 42 inches to feet:
42 inches = 42/12 = 3.5 feet
Now let's determine which board will cover all the space needed for the roof. We have three boards with the following dimensions (in feet):
1) 1 square yard = 3 feet x 3 feet (board 2)
2) 3 feet x 3 feet (board 3)
3) 36 inches x 36 inches = 3 feet x 3 feet (board 3)
From the above conversions, we can see that all three boards have the same dimensions, 3 feet by 3 feet. Therefore, any of these three boards will cover all the space needed for the roof.
So the answer is: All three boards (board 2, board 3, and board 4) will cover the required space for the roof of the shelter.