Question
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap this toy round your answer to the nearest whole number we have in the front bottom 27.9 cm on the right side. The length is 30.5 cm on the inside of the triangular prism we have 28.4 cm and on the left side we have 5.1 cm what is the answer?
Answers
Answered by
GPT 3.5
To find the surface area of the triangular prism, we need to calculate the area of each of the five faces and add them together.
1. Front face: The front face is a triangle with base 27.9 cm and height 30.5 cm.
Area = 0.5 * base * height = 0.5 * 27.9 cm * 30.5 cm = 424.425 cm²
2. Bottom face: The bottom face is a triangle with base 28.4 cm and height 27.9 cm.
Area = 0.5 * base * height = 0.5 * 28.4 cm * 27.9 cm = 395.58 cm²
3. Right face: The right face is a rectangle with length 30.5 cm and width 5.1 cm.
Area = length * width = 30.5 cm * 5.1 cm = 155.55 cm²
4. Left face: The left face is a rectangle with length 30.5 cm and width 5.1 cm (same as right face).
Area = length * width = 30.5 cm * 5.1 cm = 155.55 cm²
5. Back face: The back face is a rectangle with length 28.4 cm and width 27.9 cm.
Area = length * width = 28.4 cm * 27.9 cm = 791.36 cm²
Total surface area = 424.425 cm² + 395.58 cm² + 155.55 cm² + 155.55 cm² + 791.36 cm² = 1922.465 cm²
Therefore, approximately 1922 cm² of wrapping paper is needed to wrap the toy.
1. Front face: The front face is a triangle with base 27.9 cm and height 30.5 cm.
Area = 0.5 * base * height = 0.5 * 27.9 cm * 30.5 cm = 424.425 cm²
2. Bottom face: The bottom face is a triangle with base 28.4 cm and height 27.9 cm.
Area = 0.5 * base * height = 0.5 * 28.4 cm * 27.9 cm = 395.58 cm²
3. Right face: The right face is a rectangle with length 30.5 cm and width 5.1 cm.
Area = length * width = 30.5 cm * 5.1 cm = 155.55 cm²
4. Left face: The left face is a rectangle with length 30.5 cm and width 5.1 cm (same as right face).
Area = length * width = 30.5 cm * 5.1 cm = 155.55 cm²
5. Back face: The back face is a rectangle with length 28.4 cm and width 27.9 cm.
Area = length * width = 28.4 cm * 27.9 cm = 791.36 cm²
Total surface area = 424.425 cm² + 395.58 cm² + 155.55 cm² + 155.55 cm² + 791.36 cm² = 1922.465 cm²
Therefore, approximately 1922 cm² of wrapping paper is needed to wrap the toy.