What is the surface area of the triangular prism 11cm, 5cm , 4cm, 3cm
To find the surface area of a triangular prism, we need to calculate the area of each face and then sum them up.
To find the area of the triangular base, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
The base of the triangle is 5 cm and the height is 4 cm:
Area = 1/2 * 5 cm * 4 cm
Area = 10 cm^2
Since the triangular prism has two identical triangular faces, the total area for these two bases is:
2 * 10 cm^2 = 20 cm^2
Now, let's calculate the area of the three rectangular faces.
The three sides of the prism are 11 cm, 4 cm, and 3 cm.
The area of the rectangular faces is calculated as length * width:
First rectangular face:
Area = 11 cm * 4 cm = 44 cm^2
Second rectangular face:
Area = 11 cm * 3 cm = 33 cm^2
Third rectangular face:
Area = 4 cm * 3 cm = 12 cm^2
Adding up the areas of the three rectangular faces, we have:
44 cm^2 + 33 cm^2 + 12 cm^2 = 89 cm^2
Finally, the total surface area of the triangular prism is the sum of the areas of the two triangular bases and the three rectangular faces:
20 cm^2 + 89 cm^2 = 109 cm^2
Therefore, the surface area of the triangular prism with dimensions 11 cm, 5 cm, 4 cm, and 3 cm is 109 cm^2.