To find the total number of toothpicks needed to make the grid, we first calculate the number of toothpicks used for the horizontal lines and then the number of toothpicks used for the vertical lines.
For the horizontal lines:
Since the grid is 12 units long and each square uses one toothpick on each side, there will be 12 + 1 = 13 horizontal lines.
For the vertical lines:
Since the grid is one unit high and each square uses one toothpick on each side, there will be 1 + 1 = 2 vertical lines.
Therefore, the total number of toothpicks needed to make the grid is:
Number of toothpicks for horizontal lines = 13 horizontal lines x 12 units = 156 toothpicks
Number of toothpicks for vertical lines = 2 vertical lines x 1 unit = 2 toothpicks
Total toothpicks needed = 156 + 2 = 158 toothpicks
So, 158 toothpicks are needed to make the grid.
A grid is built using toothpicks. The square of the group uses one toothpick on each side. The grid formed is 12 units long and one unit high. How many toothpicks are needed to make the grid? Show steps.
1 answer