Math 7 B - Surface Area of Triangular Prisms quick check answers
1. How do you find the surface area of a triangular prism?
To find the surface area of a triangular prism, you need to calculate the areas of the two triangular bases and the three rectangular faces and then add them all together.
2. True or False: The surface area of a triangular prism is the sum of the areas of its two bases and three rectangular faces.
True
3. What is the formula for finding the surface area of a triangular prism?
The formula for finding the surface area of a triangular prism is:
Surface Area = 2(Base Area) + (Perimeter of Base x Height)
4. If the base of a triangular prism has a base of 6 cm and a height of 4 cm, and the lateral face has a length of 5 cm, what is the surface area of the triangular prism?
First, calculate the area of the base:
Base Area = (1/2) x base x height
Base Area = (1/2) x 6 cm x 4 cm
Base Area = 12 cm^2
Next, calculate the perimeter of the base:
Perimeter of Base = sum of all three side lengths
Perimeter of Base = 6 cm + 6 cm + 5 cm
Perimeter of Base = 17 cm
Now find the surface area:
Surface Area = 2(12 cm^2) + (17 cm x 4 cm)
Surface Area = 24 cm^2 + 68 cm^2
Surface Area = 92 cm^2
Therefore, the surface area of the triangular prism is 92 square centimeters.
5. Describe a real-life situation in which knowing the surface area of a triangular prism would be useful.
One example could be calculating the surface area of a tent, which is often in a triangular prism shape. By knowing the surface area, you can determine how much fabric is needed to cover the tent and ensure it is properly constructed.