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 need to find the areas of the two triangular bases and the three rectangular sides.
The dimensions of one of the triangular bases are 18 cm by 18 cm. The area of one triangular base is 1/2 * base * height = 1/2 * 18 * 18 = 162 cm^2.
Since there are two triangular bases, the total area for both bases is 162 cm^2 * 2 = 324 cm^2.
The dimensions of the three rectangular sides are 18 cm by 18 cm, 18 cm by 18 cm, and 18 cm by 18 cm. The total area of the three rectangular sides is 18 cm * 18 cm * 3 = 972 cm^2.
Therefore, the total area of the triangular prism is 324 cm^2 + 972 cm^2 = 1296 cm^2.
Since the piece of fabric purchased is only 18 cm by 18 cm, it's exactly enough to cover the entire triangular prism with no fabric left over.
Therefore, the answer is 0 cm^2.