Use the image to answer the question. Using the net of the triangular prism, what is its surface area? (1 point) Responses 720 ft.2 720 ft. squared 1,200 ft.2 1,200 mi. squared 240 ft.2 240 ft. squared 840 ft.2
720 ft.2
Use the image to answer the question. Given the following net, what is the area of the triangular base? (1 point) Responses 8 inches 8 inches 48 in.2 48 in. squared 10 inches 10 inches 24 in.2
The area of the triangular base can be calculated using the formula for the area of a triangle: A = 1/2 * base * height. From the net, we can see that the base of the triangle is 8 inches and the height is 6 inches.
A = 1/2 * 8 inches * 6 inches
A = 24 in²
Therefore, the area of the triangular base is 24 in².
Use the image to answer the question. What is the surface area of the triangular prism whose net is shown? (1 point) Responses 252 cm2 252 cm squared 108 cm2 108 cm squared 198 cm2 198 cm squared 216 cm2
To find the surface area of the triangular prism, we need to calculate the sum of the areas of all the faces.
From the net, we have:
- The area of the triangular base is 18 cm² (1/2 * 6 cm * 6 cm).
- Since there are two triangular bases, the total area for the triangular bases is 2 * 18 cm² = 36 cm².
- The area of each rectangular face is 6 cm * 6 cm = 36 cm², and there are three rectangular faces, so the total area for the rectangular faces is 3 * 36 cm² = 108 cm².
Adding the areas of the triangular bases and rectangular faces:
Total surface area = 36 cm² (triangular bases) + 108 cm² (rectangular faces) = 144 cm²
Therefore, the surface area of the triangular prism is 144 cm².
Use the image to answer the question. What is the surface area of the triangular prism whose net is shown? (1 point) Responses 14 cm2 14 cm squared 2.48 cm2 2.48 cm squared 6 cm2 6 cm squared 8 cm2
To find the surface area of the triangular prism, we need to calculate the sum of the areas of all the faces.
From the net, the triangular base has an area of 2 cm² (1/2 * 2 cm * 2 cm) and there are two triangular bases, so the total area of the triangular bases is 2 * 2 cm² = 4 cm².
Each rectangular face has a width of 2 cm and a length of 4 cm, giving an area of 2 cm * 4 cm = 8 cm² for each face. Since there are three rectangular faces, the total area for the rectangular faces is 3 * 8 cm² = 24 cm².
Adding the areas of the triangular bases and rectangular faces:
Total surface area = 4 cm² (triangular bases) + 24 cm² (rectangular faces) = 28 cm²
Therefore, the surface area of the triangular prism is 28 cm².
Use the image to answer the question. The net of a triangular prism is shown. What is the surface area of the triangular prism? (1 point) Responses 5,936 square units 5,936 square units 5,668 square units 5,668 square units 5,684 square units 5,684 square units 5,768 square units
To find the surface area of the triangular prism, we need to calculate the sum of the areas of all the faces.
From the net, the area of each triangular base is calculated as follows:
Area = 1/2 * base * height
Area = 1/2 * 34 units * 16 units
Area = 272 square units
Since there are two triangular bases, the total area of the triangular bases is 2 * 272 square units = 544 square units.
Each rectangle on the net has dimensions 5 units by 34 units, so the area of each rectangle is 5 units * 34 units = 170 square units. Since there are three rectangles on the net, the total area of all the rectangular faces is 3 * 170 square units = 510 square units.
Adding the areas of the triangular bases and rectangular faces:
Total surface area = 544 square units (triangular bases) + 510 square units (rectangular faces) = 1054 square units
Therefore, the surface area of the triangular prism is 1054 square units.