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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The formula to calculate the surface area of a triangular prism is:
Surface Area = 2 * base area + lateral area
The base area of the triangular prism can be calculated by multiplying the base length and base width. In this case, the base length and base width are both 18 cm, so the base area is 18 cm * 18 cm = 324 cm².
The lateral area of the triangular prism can be calculated by finding the perimeter of the base (3 sides of triangle in this case) and multiplying it by the height of the prism. The perimeter of the base can be calculated by 3 * side length, and in this case, it's 3 * 18 cm = 54 cm.
Let's assume the height of the prism is h cm.
The total surface area of the triangular prism will be:
Surface Area = 2 * 324 cm² + 54 cm * h
Since we don't have the height of the prism, we cannot calculate the exact amount of fabric left over. Therefore, the correct answer is that we cannot determine how much fabric will be left over.
So, the correct response is: Cannot determine.