Are you someone who likes to build and create things? If so, you might be interested in Maile's project. She's currently in the process of constructing a unique table that she has envisioned. She has acquired three boards, all of which have the same measurements of 36 inches by 24 inches. Maile's goal is to use these boards to create a table that is 36 inches long and 12 inches wide, with four legs that are each 12 inches by 12 inches.
However, Maile is uncertain if she has enough wood to complete her dream table. Do you think she needs more wood? If so, how much more do you think she needs?
Based on the given measurements, Maile would need additional wood to complete her table. Each board has a length of 36 inches, and she wants the table to be 36 inches long. This means she can use one board for the length. However, the width of the table is 12 inches, and each board only has a width of 24 inches. Therefore, she would need two more boards to achieve the desired width.
To determine if she has enough wood for the legs, we can calculate the total area of the boards. Each board has an area of (36 inches x 24 inches) = 864 square inches. Since she has three boards, the total area is 3 x 864 = 2592 square inches.
For the legs, she wants each leg to be 12 inches by 12 inches. So the area of each leg would be (12 inches x 12 inches) = 144 square inches. Since she wants four legs, the total area required for the legs is 4 x 144 = 576 square inches.
Therefore, to construct the table, Maile has enough wood for the length and width (using the three boards), but she would need additional wood to create the four legs. She would need to acquire an additional 576 - 2592 = 2016 square inches of wood.
how many more board would she need
To determine how many more boards Maile would need, we need to calculate the additional square inches of wood required for the legs and then divide it by the area of a single board.
She needs an additional 2016 square inches of wood for the legs. Each board has an area of 864 square inches. Therefore, she would need 2016 / 864 = 2.33 boards.
Since she cannot purchase a fraction of a board, she would need to round this up and get at least 3 more boards to have enough wood for the legs.
can you clarify on how you found the solution
Certainly! To clarify:
1. We calculated the extra wood required for the legs by subtracting the total area of the three boards (2592 square inches) from the required area for the legs (576 square inches). This gives us 2016 square inches of additional wood needed.
2. Next, we divide the additional square inches of wood needed (2016) by the area of a single board (864). This tells us how many additional boards are required to meet the needed wood quantity.
3. Dividing 2016 by 864 gives us approximately 2.33 boards. However, since we cannot purchase a fraction of a board, we need to round up to the nearest whole number.
4. Therefore, Maile would need to acquire at least 3 more boards to have enough wood to complete her table. This ensures that she has enough wood for the legs, as well as the length and width of the table.