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