Use the diagram to find the surface area of a triangular prism. Find the area of the two triangular faces. Then find the area of each of the three rectangular faces. What is the surface area? Describe how you solved the problem. Prism has numbers of 4, 3, 6 and 5. And teacher said it works out to be less than 100
What diagram? Cannot copy and paste here.
To find the surface area of a triangular prism, we need to calculate the area of each face and then sum them up.
First, let's find the areas of the triangular faces. The formula to find the area of a triangle is 1/2 * base * height.
Using the given diagram, we can identify two triangles: one with base 4 and height 3, and another with base 6 and height 5. Let's calculate their areas:
Area of first triangle = 1/2 * 4 * 3 = 6 square units
Area of second triangle = 1/2 * 6 * 5 = 15 square units
Next, let's find the areas of the rectangular faces. The formula to find the area of a rectangle is length * width.
We have three rectangular faces with different dimensions:
Face 1: Length = 4, Width = 3 => Area = 4 * 3 = 12 square units
Face 2: Length = 6, Width = 3 => Area = 6 * 3 = 18 square units
Face 3: Length = 6, Width = 5 => Area = 6 * 5 = 30 square units
Now, to find the surface area, we sum up the areas of all the faces:
Surface Area = Area of triangular faces + Area of rectangular faces
Surface Area = (6 + 15) + (12 + 18 + 30)
Surface Area = 69 square units
Based on the dimensions provided (4, 3, 6, and 5), the surface area of the triangular prism is 69 square units.