What is the surface area of the triangular prism?
(1 point)
square centimeters
11 cm long
the triangle face ppart is 3 cm 4 cm and 5 cm
To find the surface area of a triangular prism, we need to find the area of each of the triangular faces and the area of the three rectangular faces.
First, let's find the area of the triangular face with sides 3cm, 4cm, and 5cm. This can be done using Heron's formula or by dividing the triangle into right triangles and finding the area that way.
Area of triangular face = 1/2 * base * height
= 1/2 * 4cm * 3cm
= 6 square centimeters
Since there are two identical triangular faces, the total area for both triangular faces is:
Total area for triangular faces = 6 square centimeters * 2 = 12 square centimeters
Next, let's find the areas of the three rectangular faces. The length of the prism is 11 cm.
Area of rectangular face = length * width
= 11cm * 4cm = 44 square centimeters
Since there are three identical rectangular faces, the total area for all three rectangular faces is:
Total area for rectangular faces = 44 square centimeters * 3 = 132 square centimeters
Now, we can find the total surface area of the triangular prism by adding together the total area for both triangular faces and the total area for all three rectangular faces:
Total surface area = Total area for triangular faces + Total area for rectangular faces
= 12 square centimeters + 132 square centimeters
= 144 square centimeters
Therefore, the surface area of the triangular prism is 144 square centimeters.