To find the surface area of a triangular prism, we need to find the area of each of the three rectangular faces, and the area of the two triangular faces.
1. Area of the rectangular faces:
Since the triangular prism has a height (H) of 9 inches, a base (B) of 17 inches, and a length (L) of 10 inches, we can calculate the area of the two rectangular faces as follows:
2 * 9 * 17 = 306 square inches
2. Area of the two triangular faces:
To find the area of the two triangular faces, we first need to find the height of the triangle. We can use the Pythagorean theorem to calculate the height:
h = sqrt(10^2 - (17/2)^2)
h = sqrt(100 - 144.5)
h = sqrt(-44.5) (This means that the triangle is not possible to construct with the given base and height.)
Therefore, the total surface area of the triangular prism display showcase cannot be calculated as the given dimensions create an impossible shape.
Christian collects model cards and planes. He has a display showcase of all of his collectors items solve this real world problem to find the surface area of the display showcase. If it is the shape of a triangular prism with the following dimensions H equals 9 inches B equals 17 inches One equals 10 inches two equals 12 inches three equals 17 and L equals 10 inches what’s the answer?
1 answer
1 answer