Prism: 10 cm 8cm 9cm 6cm
Surface Area of Triangular Prisms Practice Complete this assessment to review what you've learned. It will not count toward your grade. 4 of 54 of 5 Items Question Use the image to answer the question. What is the surface area of the triangular prism? (1 point) square centimeters
To find the surface area of a triangular prism, you need to calculate the area of each of the faces and add them all together.
In a triangular prism, there are three rectangular faces and two triangular faces. The formula to find the surface area of a triangular prism is:
Surface Area = 2(base area) + (perimeter of base)(height) for the two triangular faces
Surface Area = (perimeter of base)(height) for the three rectangular faces
First, let's find the area of the two triangular faces:
Base of triangle: 10 cm
Height of triangle: 8 cm
Area of triangle = 1/2 * base * height = 1/2 * 10 * 8 = 40 square cm
Now, let's find the area of the three rectangular faces:
Length of rectangles: 10 cm, 8 cm, 6 cm
Width of rectangles: 9 cm
Area of rectangle = length * width
First rectangle: 10 cm * 9 cm = 90 square cm
Second rectangle: 8 cm * 9 cm = 72 square cm
Third rectangle: 6 cm * 9 cm = 54 square cm
Now, add the areas of the two triangular faces and the three rectangular faces:
40 + 90 + 72 + 54 = 256 square cm
Therefore, the surface area of the triangular prism is 256 square centimeters.