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
To calculate the amount of fabric needed for the triangular prism tent, we first need to find the total surface area of the tent.
The formula for the surface area of a triangular prism is given by:
Surface Area = 2(base area of triangle) + (perimeter of triangle) * height
Given that the base of the triangle is 18 cm by 18 cm, the base area of the triangle is:
Base Area = 18 cm * 18 cm = 324 cm^2
The perimeter of the triangle can be calculated as the sum of the three sides of the base triangle:
Perimeter = 18 cm + 18 cm + sqrt(18^2 + 18^2) = 36 cm + 25.45 cm = 61.45 cm
Given that the height of the triangular prism tent is not provided, we cannot calculate the total surface area of the tent.
Therefore, we cannot determine how much fabric will be left over after making the tent.