First, we need to calculate the total amount of fabric needed for the tent shaped like a triangular prism.
The formula for the surface area of a triangular prism is:
2*(base area) + (perimeter of base)*(height)
Given that the base of the triangular prism is a triangle with sides of 18cm each, the base area can be calculated using the formula for the area of a triangle:
Base area = (1/2)*base*height = (1/2)*18*18 = 162 square cm
Now, we need to calculate the perimeter of the base:
Perimeter of base = 18 + 18 + 18 = 54 cm
Given that the height of the triangular prism is also 18 cm, the total amount of fabric needed is:
2*(162) + 54*18 = 324 + 972 = 1296 square cm
Since the total piece of fabric purchased is 18 cm by 18 cm, the area of the fabric is:
18 * 18 = 324 square cm
Therefore, the amount of fabric left over is:
324 - 1296 = 972 square cm
So, the correct answer is: 972 centimeters squared
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 Skip to navigation
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