Question

Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AJordan 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?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A184 cm2%0D%0A 184 cm squared%0D%0A%0D%0A324 cm2%0D%0A 324 cm squared%0D%0A%0D%0A240 cm2%0D%0A 240 cm squared%0D%0A%0D%0A84 cm2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total surface area of the triangular prism tent, we need to calculate the area of the three rectangular sides and the two triangular sides separately.

The two triangular sides have a base of 18 cm and a height of 6 cm (calculated as half of 12 cm). The area of one triangular side is 1/2 * base * height = 1/2 * 18 cm * 6 cm = 54 cm^2. Since there are two triangular sides, the total area for the triangular sides is 2 * 54 cm^2 = 108 cm^2.

The three rectangular sides each have an area of length * width = 18 cm * 12 cm = 216 cm^2. Since there are three of these sides, the total area for the rectangular sides is 3 * 216 cm^2 = 648 cm^2.

Thus, the total surface area of the triangular prism tent is the sum of the areas of the triangular and rectangular sides: 108 cm^2 + 648 cm^2 = 756 cm^2.

Jordan purchased a piece of fabric that is 18 cm by 18 cm, which means the area of the fabric is 18 cm * 18 cm = 324 cm^2.

To find out how much fabric she will have left over, we subtract the total surface area of the triangular prism tent from the area of the fabric: 324 cm^2 - 756 cm^2 = -432 cm^2.

Since we can't have a negative fabric area, it means the answer is that Jordan will not have enough fabric to make the tent and there will be 0 cm^2 left over.

Therefore, the closest response available is 0 cm^2.