Jordan purchased a piece of fabric that is 18 cm in order to make a tent for her little sister's dolls. Using the dimensions for the tent shaped as a triangular prism, how much fabric will be left over? Sides 7 cm, base: 4 cm, height: 6cm and length: 12 cm
To find the surface area of the triangular prism, we first need to find the area of each of the triangular faces and the rectangular face, and then add them all together.
The area of a triangle is given by the formula: (1/2) * base * height
Area of first triangle = (1/2) * 4 cm * 6 cm = 12 cm²
Area of second triangle = (1/2) * 4 cm * 6 cm = 12 cm²
The area of the rectangular face is given by the formula: length * width
Area of rectangular face = 12 cm * 7 cm = 84 cm²
Now we add all the areas together:
Total surface area = 2(12 cm²) + 84 cm² = 24 cm² + 84 cm² = 108 cm²
So, the total surface area of the triangular prism is 108 cm². Since Jordan initially purchased a piece of fabric that is 18 cm, and the surface area of the tent is 108 cm², the amount left over will be:
18 cm - 108 cm² = 90 cm²
Therefore, Jordan will have 90 cm² of fabric left over after making the tent for her little sister's dolls.