Prism measurements: 10 cm 8cm 9cm 6cm
Use the image to answer the question. What is the surface area of the triangular prism? (1 point) square centimeters
correct answer
The surface area of a triangular prism can be calculated by finding the sum of the areas of each of its faces.
For this triangular prism, there are two triangular faces and three rectangular faces.
The two triangular faces have base 10 cm and height 8 cm.
The area of each triangular face = 1/2 * base * height
= 1/2 * 10 cm * 8 cm
= 40 square cm
The three rectangular faces have dimensions:
1. 10 cm x 9 cm
2. 10 cm x 9 cm
3. 9 cm x 8 cm
The area of each rectangular face is calculated by multiplying the length and width:
1. 10 cm x 9 cm = 90 square cm
2. 10 cm x 9 cm = 90 square cm
3. 9 cm x 8 cm = 72 square cm
The total surface area of the triangular prism is the sum of the areas of all faces:
Total surface area = 2(40 square cm) + 90 square cm + 90 square cm + 72 square cm
Total surface area = 80 square cm + 90 square cm + 90 square cm + 72 square cm
Total surface area = 332 square cm
Therefore, the surface area of the triangular prism is 332 square centimeters.