The shape is 6 cm with 7 cm 4 cm and 12 cm 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 fabnic will be left over?

Question

(1 point)
• 324 cm²
• 184 cm²
• 84 cm²
• 240 cm²

Answer 1

First, calculate the total surface area of the tent shaped as a triangular prism:

Total surface area = 2(base area) + lateral area

Base area = (1/2)*base*height = (1/2)*6*7 = 21 cm²
Lateral area = perimeter of base * height = 4*12 = 48 cm²

Total surface area = 2*21 + 48 = 42 + 48 = 90 cm²

Next, calculate the total fabric needed for the tent:
Total fabric needed = 2*(18*18) = 648 cm²

Finally, calculate the fabric left over:
Fabric left over = Total fabric purchased - Total fabric needed = 648 - 90 = 558 cm²

Therefore, the correct answer is:
• 240 cm²