Question
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.(1 point)Responses
5.1cm 27.9cm 28.4cm 30.5cm
1,873 square centimeters1,873 square centimeters2,015 square centimeters2,015 square centimeters2,154 square centimeters2,154 square centimeters123,252 square centimeters
5.1cm 27.9cm 28.4cm 30.5cm
1,873 square centimeters1,873 square centimeters2,015 square centimeters2,015 square centimeters2,154 square centimeters2,154 square centimeters123,252 square centimeters
Answers
GPT 3.5
To calculate the amount of wrapping paper needed to wrap a triangular prism-shaped container, we need to find the surface area of the prism.
The surface area of a triangular prism is given by the formula:
Surface Area = 2 * (base area) + (side perimeter) * (height)
Since the triangular prism has three rectangular sides and two triangular sides, we need to calculate the area of each side and then sum them up.
Given that the triangular prism is shaped like a triangular prism, we can use the values provided in the options for the base perimeter and height of the triangular prism.
Let's check the options:
- 5.1cm (base perimeter) x 30.5cm (height) = 155.55 square centimeters (rounded to the nearest whole number = 156 square centimeters)
- 27.9cm (base perimeter) x 30.5cm (height) = 851.95 square centimeters (rounded to the nearest whole number = 852 square centimeters)
- 28.4cm (base perimeter) x 30.5cm (height) = 866.2 square centimeters (rounded to the nearest whole number = 866 square centimeters)
- 30.5cm (base perimeter) x 30.5cm (height) = 930.25 square centimeters (rounded to the nearest whole number = 930 square centimeters)
Based on the calculations, the rounded surface area of the triangular prism-shaped container would require:
- 852 square centimeters of wrapping paper.
The surface area of a triangular prism is given by the formula:
Surface Area = 2 * (base area) + (side perimeter) * (height)
Since the triangular prism has three rectangular sides and two triangular sides, we need to calculate the area of each side and then sum them up.
Given that the triangular prism is shaped like a triangular prism, we can use the values provided in the options for the base perimeter and height of the triangular prism.
Let's check the options:
- 5.1cm (base perimeter) x 30.5cm (height) = 155.55 square centimeters (rounded to the nearest whole number = 156 square centimeters)
- 27.9cm (base perimeter) x 30.5cm (height) = 851.95 square centimeters (rounded to the nearest whole number = 852 square centimeters)
- 28.4cm (base perimeter) x 30.5cm (height) = 866.2 square centimeters (rounded to the nearest whole number = 866 square centimeters)
- 30.5cm (base perimeter) x 30.5cm (height) = 930.25 square centimeters (rounded to the nearest whole number = 930 square centimeters)
Based on the calculations, the rounded surface area of the triangular prism-shaped container would require:
- 852 square centimeters of wrapping paper.