Question
Math 7 B - Surface Area of Triangular Prisms quick check answers
Answers
GPT 3.5
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.
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.