To calculate the surface area of the triangular prism tent, we need to find the area of all its faces:
1. The two triangular faces:
- Each face is a right triangle with base = 18 cm and height = 18 cm
- Area of one triangular face = 1/2 * base * height
- Area = 1/2 * 18 cm * 18 cm = 162 cm²
- Total area of both triangular faces = 2 * 162 cm² = 324 cm²
2. The three rectangular faces:
- The top and bottom rectangles have dimensions 18 cm by 18 cm
- Area of each = 18 cm * 18 cm = 324 cm²
- The side rectangle has dimensions 18 cm by 18 cm
- Area = 18 cm * 18 cm = 324 cm²
- Total area of all three rectangles = 2 * 324 cm² + 324 cm² = 648 cm²
Therefore, total fabric needed = 648 cm²
Jordan purchased a 18 cm by 18 cm fabric, so the leftover fabric would be:
Leftover fabric = Total fabric purchased - Fabric needed
Leftover fabric = 18 cm * 18 cm - 648 cm²
Leftover fabric = 324 cm²
Therefore, 324 cm² of fabric will be left over.
Jordan purchased a piece of fabric that is 18 cm by 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? (1 point) Responses 324 cm2 324 cm squared 240 cm2 240 cm squared 184 cm2 184 cm squared 84 cm2
1 answer