What is the surface area of the triangular prism with the numbers 5 3 4 11

Answer 1

To calculate the surface area of a triangular prism, you need to find the area of each face and then add them all together.

A triangular prism has three rectangular faces and two triangular faces.

To find the area of a triangular face, you can use the formula:
Area = 0.5 * base * height

Given the numbers 5, 3, and 4, we can assign these values as the base and height of the two triangular faces.

Area of the two triangular faces:
Area = 0.5 * 5 * 3 = 7.5
Area = 0.5 * 4 * 3 = 6

Next, we calculate the area of the three rectangular faces:
We have two rectangles with dimensions 5 x 11 and 3 x 11, and one rectangle with dimensions 4 x 11.

Area of the three rectangular faces:
Area1 = 5 * 11 = 55
Area2 = 3 * 11 = 33
Area3 = 4 * 11 = 44

Now, add up all the calculated areas to get the total surface area of the triangular prism:
Total surface area = 2(Triangular face area) + 3(Rectangular face area)
Total surface area = 2(7.5 + 6) + 3(55 + 33 + 44)
Total surface area = 13 + 176
Total surface area = 189

Therefore, the surface area of the triangular prism with the numbers 5, 3, 4, and 11 is 189 square units.