Jordan participate a piece of fabric that is 18 cm x 18 cm in order to make a tent for her little sister's dolls. Using the dimensions for the tent shape as a triangular prism how much fabric will be left over. The height is 6 cm the base is 12 cm The width is 4 cm and the face is 7 cm
To find the total surface area of the triangular prism tent, we first need to calculate the area of each face.
1. The base of the prism is a triangle with base 12 cm and height 6 cm:
Area = 1/2 * base * height
Area = 1/2 * 12 cm * 6 cm
Area = 36 square cm
2. The two parallel faces of the prism are rectangles with width 4 cm, height 6 cm, and length 7 cm:
Area = length * width
Area = 7 cm * 4 cm
Area = 28 square cm
Adding up the areas of the three faces, we get:
Total surface area = 36 square cm + 28 square cm + 28 square cm
Total surface area = 92 square cm
Since the fabric given is 18 cm x 18 cm = 324 square cm, the amount of fabric left over after making the triangular prism tent would be:
324 square cm - 92 square cm = 232 square cm
Therefore, there would be 232 square cm of fabric left over.