The formula for the surface area of a triangular prism is given by the formula:
Surface Area = 2(base area) + (perimeter of base x height)
The base of the triangular prism is a triangle with sides of 18 cm, 18 cm, and 18 cm. So the base area is calculated as follows:
Base Area = (1/4) x √(sum of sides x difference of sides)²
Base Area = (1/4) x √((18+18+18) x (18+18-18)²
Base Area = (1/4) x √(54 x 18)²
Base Area = (1/4) x √(972)
Base Area = (1/4) x 31.16
Base Area = 77.9 cm²
Now we calculate the perimeter of the base:
Perimeter = 18 + 18 + 18 = 54 cm
Now we calculate the total surface area:
Surface Area = 2(77.9) + (54 x 18)
Surface Area = 155.8 + 972
Surface Area = 1127.8 cm²
Therefore, there will be 1127.8 - 324 = 803.8 cm² of fabric left over.
Thus, the correct answer is: 803.8 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
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5 answers
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the answer is 324
It's 84, don't trust penny.
suspetor is right!! don't trust penny.