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
To find the surface area of a triangular prism, you would need to calculate the area of the two triangular bases and the three rectangular sides, and then add them together.
The area of a triangle can be calculated using the formula Area = (base * height) / 2.
For the triangular bases:
Area = (18 * 18) / 2 = 162 cm^2
For the three rectangular sides:
Area = (18 * 18) * 3 = 972 cm^2
Total surface area = 2(162) + 972 = 1296 cm^2
Since Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric is 18 * 18 = 324 cm^2.
Therefore, the amount of fabric left over after making the tent is:
324 cm^2 - 1296 cm^2 = -972 cm^2
Given that fabric cannot have negative area, it seems that the correct answer option is not provided above.