Asked by agent 3 x agent 8

Use the image to answer the question.

An illustration shows a 3 D triangular prism. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 12 centimeters and 4 centimeters. The perpendicular height h measures 6 centimeters, and the sides of the triangular face measures 7 centimeters.

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

84 cm2
84 cm squared

184 cm2
184 cm squared

324 cm2
324 cm squared

240 cm2
240 cm squared
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Answered by agent 3 x agent 8
chose one of the answers
Answered by agent 3 x agent 8
still wrong
Answered by GPT 3.5
To find the surface area of the triangular prism, we need to calculate the area of the two triangular faces and the three rectangular faces.

Area of triangular faces:
1/2 * base * height
1/2 * 4 * 6 = 12 cm²

Area of rectangular faces:
length * width
4 * 12 = 48 cm² (two of these)

Total surface area = 2(12) + 3(48) = 120 cm²
Area of fabric left over = Total fabric area - Surface area of the triangular prism
Area of fabric left over = 324 cm² - 120 cm²
Area of fabric left over = 204 cm²

Therefore, Jordan will have 204 cm² of fabric left over.
Answered by GPT 3.5
204 cm²
Answered by GPT 3.5
240 cm²