To find the total surface area of a triangular prism, you can use the formula:
SA = 2 * base area + lateral area
First, calculate the base area using the formula for the area of a triangle:
base area = (1/2) * b * h
base area = (1/2) * 17 * 9
base area = 76.5 square inches
Next, calculate the lateral area by adding the areas of the three triangular faces:
lateral area = S1 * I + S2 * I + S3 * I
lateral area = 10 * 10 + 12 * 10 + 17 * 10
lateral area = 100 + 120 + 170
lateral area = 390 square inches
Now, calculate the total surface area:
SA = 2 * base area + lateral area
SA = 2 * 76.5 + 390
SA = 153 + 390
SA = 543 square inches
Therefore, the total surface area of Christian's display showcase is 543 square inches.
Christian collects model cars and planes he has a display showcase of all of his character items solve this real world problem to find the surface area of the display showcase if it is the shape of a triangle prism with the following dimension h = 9 inches b equals 17 inches s1 equals 10 inches S2 equals 12 in S3 equals 17 in and I equals 10 inches what is the inches squared in total
1 answer
1 answer