The 2005 world record for the longest sandwich is 3.6 meters with a width of 3.6 meters and a thickness of 0.44 meters. If you cut the sandwich in half diagonally, it would create a triangular prism with a hypotenuse of 5.1 meters. Apply the technique of using nets to find the surface area.(1 point)
Responses
12.98 m2
14.63 m2
18.37 m2
16.22 m2
5 answers
18.37 m2
i yelled last time bc i gave the wrong one and thought you where wrong so heres the right one-A triangular prism has a height of 1.5 inches and right triangular bases with a height of 1.5 inches, length of 5 inches, and a hypotenuse measuring 5.22 inches. What is the prism's surface area? (1 point) Responses 25.41 in.2 25.41 in. squared 25.08 in.2 25.08 in. squared 24.75 in.2 24.75 in. squared 30.33 in.2
The correct surface area of the triangular prism is 25.41 in^2 (or 25.41 in. squared)
can you show your work
To find the surface area of a triangular prism, you need to calculate the area of the two triangular bases and the three rectangular faces.
First, calculate the area of the triangular bases:
Area of a triangle = 0.5 * base * height
For the two triangular bases:
Base = 5 inches
Height = 1.5 inches
Area = 0.5 * 5 * 1.5 = 3.75 square inches per base
Total for both bases = 2 * 3.75 = 7.5 square inches
Next, calculate the area of the three rectangular faces:
Face 1:
Width = 5.22 inches (hypotenuse)
Height = 1.5 inches
Area = 5.22 * 1.5 = 7.83 square inches
Faces 2 and 3 are identical to Face 1.
Total area of the three rectangular faces = 3 * 7.83 = 23.49 square inches
Finally, sum the areas of the bases and faces:
Total surface area = 7.5 (bases) + 23.49 (rectangular faces) = 30.99 square inches
Therefore, the correct surface area of the triangular prism is approximately 30.99 square inches.
First, calculate the area of the triangular bases:
Area of a triangle = 0.5 * base * height
For the two triangular bases:
Base = 5 inches
Height = 1.5 inches
Area = 0.5 * 5 * 1.5 = 3.75 square inches per base
Total for both bases = 2 * 3.75 = 7.5 square inches
Next, calculate the area of the three rectangular faces:
Face 1:
Width = 5.22 inches (hypotenuse)
Height = 1.5 inches
Area = 5.22 * 1.5 = 7.83 square inches
Faces 2 and 3 are identical to Face 1.
Total area of the three rectangular faces = 3 * 7.83 = 23.49 square inches
Finally, sum the areas of the bases and faces:
Total surface area = 7.5 (bases) + 23.49 (rectangular faces) = 30.99 square inches
Therefore, the correct surface area of the triangular prism is approximately 30.99 square inches.