Question
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?
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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To find the total surface area of the tent shaped like a triangular prism, we need to find the area of each face and then add them up.
The triangular faces will have a base of 18 cm and a height of 18 cm, so the area of each triangular face will be (1/2) * base * height = (1/2) * 18 * 18 = 162 cm².
Since there are 2 triangular faces, the total area of the triangular faces will be 2 * 162 = 324 cm².
The rectangular face will have dimensions of 18 cm by 18 cm, so its area will be 18 * 18 = 324 cm².
Adding up the areas of all the faces, the total surface area of the tent shaped like a triangular prism will be 324 cm² (triangular faces) + 324 cm² (rectangular face) = 648 cm².
Since Jordan purchased a piece of fabric that is only 18 cm by 18 cm, she will not have enough fabric to make the entire tent. Therefore, there will be no fabric left over.
So the correct answer is: 0 centimeters squared.