What is the surface area of the triangular prism 5cm, 3cm, 4cm, 11cm??????????
____, Square centimeters
To find the surface area of a triangular prism, we need to find the areas of the three rectangular faces and the two triangular faces.
First, let's find the area of the two triangular faces. The formula for the area of a triangle is A = 0.5 * base * height.
Triangular face 1:
Base = 5 cm
Height = 3 cm
A1 = 0.5 * 5 * 3
A1 = 7.5 cm^2
Triangular face 2:
Base = 4 cm
Height = 3 cm
A2 = 0.5 * 4 * 3
A2 = 6 cm^2
Next, let's find the areas of the three rectangular faces. Each rectangular face has a length equal to the base of the corresponding triangle and a width equal to the height of the prism.
Rectangular face 1:
Length = 5 cm
Width = 11 cm
Area = 5 * 11
Area = 55 cm^2
Rectangular face 2:
Length = 4 cm
Width = 11 cm
Area = 4 * 11
Area = 44 cm^2
Rectangular face 3:
Length = 3 cm
Width = 11 cm
Area = 3 * 11
Area = 33 cm^2
Now, we add up the areas of all the faces to find the total surface area of the triangular prism:
Total surface area = A1 + A2 + Area of rectangular faces
Total surface area = 7.5 + 6 + 55 + 44 + 33
Total surface area = 145.5 cm^2
Therefore, the surface area of the triangular prism is 145.5 square centimeters.