Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AThe net of a triangular prism is shown. What is the surface area of the triangular prism?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A5,936 square units%0D%0A5,936 square units%0D%0A%0D%0A5,684 square units%0D%0A5,684 square units%0D%0A%0D%0A5,668 square units%0D%0A5,668 square units%0D%0A%0D%0A5,768 square units%0D%0A5,768 square units%0D%0ASkip to navigation%0D%0AHighlight
To find the surface area of the triangular prism, we need to calculate the area of all its faces and then add them together.
The triangular faces have a base of 20 units and a height of 10 units. The formula for the area of a triangle is 1/2 * base * height. So, the area of one triangular face is 1/2 * 20 * 10 = 100 square units. Since there are two triangular faces, the total area for both is 2 * 100 = 200 square units.
Next, we need to calculate the area of the three rectangular faces. The formula for the area of a rectangle is length * width. Looking at the net, we see that the length of each rectangular face is 20 units and the width is 10 units. So, the area of one rectangular face is 20 * 10 = 200 square units. Since there are three rectangular faces, the total area for all three is 3 * 200 = 600 square units.
Finally, we add the areas of the two triangular faces and the three rectangular faces together to get the total surface area of the triangular prism: 200 + 600 = 800 square units.
Therefore, the surface area of the triangular prism is 800 square units.