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
ANSWER IS NOT NEGATIVE
84 centimeters squared
To find the total surface area of the triangular prism tent, we need to calculate the area of each face and then add them up.
The two triangular faces of the prism will each have a base and height of 18 cm, so their combined area is 2 * (1/2 * 18 cm * 18 cm) = 2 * 81 cm^2 = 162 cm^2.
The three rectangular faces of the prism will have a length of 18 cm and a width of 18 cm, so their combined area is 3 * (18 cm * 18 cm) = 3 * 324 cm^2 = 972 cm^2.
Adding the areas of the triangular faces and the rectangular faces gives us a total surface area of 162 cm^2 + 972 cm^2 = 1134 cm^2.
Since Jordan purchased a piece of fabric that is 324 cm^2, the amount of fabric left over after making the tent is 324 cm^2 - 1134 cm^2 = 84 cm^2.