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 like a triangular prism, how much fabric will be left over?

Question

length is 12 cm the wight is 4 cm the height is 6 cm | 7 cm
Georgia Milestones Grade 7 Mathematics Formula Sheet

(1 point)
Responses

184 centimeters squared
184 centimeters squared

324 centimeters squared
324 centimeters squared

84 centimeters squared
84 centimeters squared

240 centimeters squared
240 centimeters squared
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Answer 1

To find the total surface area of the triangular prism tent, we need to calculate the area of each face and add them together.

Area of the two triangular faces:
1/2 * base * height
= 1/2 * 12 * 6 + 1/2 * 4 * 6
= 36 + 12
= 48 cm²

Area of the three rectangular faces:
length * height
= 12 * 7 + 4 * 7 + 18 * 6
= 84 + 28 + 108
= 220 cm²

Total surface area = 48 + 220
= 268 cm²

Since the total surface area of the tent is 268 cm² and Jordan purchased a piece of fabric that is 18 cm by 18 cm, she will have 18*18 - 268 = 324 cm² of fabric left over.

Therefore, the correct answer is 324 centimeters squared.