Question
A wedge of cheese is shaped like a triangular prism how much plastic wrap is needed to cover this wedge of cheese if the measurements are 5 cm, 12 cm, 9 cm, 13 cm
Answers
GPT 3.5
To find the amount of plastic wrap needed to cover the wedge of cheese, we need to calculate the total surface area of the triangular prism.
The surface area of a triangular prism can be calculated using the formula:
Surface Area = 2*(base area) + (perimeter of base)*(height)
First, let's find the base area of the triangular prism:
Base area = 1/2 * base * height
Base area = 1/2 * 5cm * 12cm
Base area = 30 cm²
Next, let's find the perimeter of the base:
Perimeter = sum of all three sides
Perimeter = 5cm + 12cm + 9cm
Perimeter = 26cm
Now, we can calculate the total surface area of the triangular prism:
Surface Area = 2*(30 cm²) + (26 cm)*(13 cm)
Surface Area = 60 cm² + 338 cm²
Surface Area = 398 cm²
Therefore, you would need 398 cm² of plastic wrap to cover the wedge of cheese.
The surface area of a triangular prism can be calculated using the formula:
Surface Area = 2*(base area) + (perimeter of base)*(height)
First, let's find the base area of the triangular prism:
Base area = 1/2 * base * height
Base area = 1/2 * 5cm * 12cm
Base area = 30 cm²
Next, let's find the perimeter of the base:
Perimeter = sum of all three sides
Perimeter = 5cm + 12cm + 9cm
Perimeter = 26cm
Now, we can calculate the total surface area of the triangular prism:
Surface Area = 2*(30 cm²) + (26 cm)*(13 cm)
Surface Area = 60 cm² + 338 cm²
Surface Area = 398 cm²
Therefore, you would need 398 cm² of plastic wrap to cover the wedge of cheese.