To find the surface area of the triangular prism showcase, you would first need to calculate the area of each individual face.
The formula to calculate the surface area of a triangular prism is:
Surface Area = 2*(base area) + (lateral area)
Base Area:
- The base of the triangular prism is a triangle with a base of 17 and height of 9.
- The formula to calculate the area of a triangle is:
Area = 1/2 * base * height
Area = 1/2 * 17 * 9
Area = 1/2 * 153
Area = 76.5
Lateral Area:
- The lateral faces of the triangular prism are rectangles.
- To calculate the area of each rectangle, you need to multiply the length by the height.
- The formula to calculate the lateral area of a prism is:
Lateral Area = 2*(side1*height) + 2*(side2*height) + 2*(side3*height)
Lateral Area = 2*(110*9) + 2*(12*9) + 2*(317*9)
Lateral Area = 1980 + 216 + 5718
Lateral Area = 7914
Now, you can calculate the total surface area of the triangular prism showcase by adding the base area and lateral area together:
Surface Area = 2*(76.5) + 7914
Surface Area = 153 + 7914
Surface Area = 8067
Therefore, the surface area of Christian's triangular prism showcase is 8067 square units.
Christian Christian collects model cars and planes he has a display showcase of all of his collectors items softest real world problem to find the surface of the area displayed showcase if it is the shape of a triangular prism with the following dimensions height equals nine base equals 17 side 110 side to 12 side 317 and length 10
1 answer
1 answer