To find the surface area of a triangular prism, you need to calculate the areas of each of the faces and then add them up.
In this case, the triangular base has a base of 4 cm and a height of 3 cm. The area of this triangle is 1/2 * base * height = 1/2 * 4 cm * 3 cm = 6 square cm.
Since there are two triangular faces (front and back), the total area for the triangular faces is 2 * 6 square cm = 12 square cm.
Next, we need to calculate the area of the rectangular faces. The length of the rectangular faces is 4 cm and the width is 3 cm. The area of each rectangular face is length * width = 4 cm * 3 cm = 12 square cm.
Since there are three rectangular faces (top, bottom, and side), the total area for the rectangular faces is 3 * 12 square cm = 36 square cm.
Adding the areas of the triangular and rectangular faces together, the total surface area of the triangular prism is 12 square cm (triangular faces) + 36 square cm (rectangular faces) = 48 square cm.
Therefore, the surface area of the triangular prism is 48 square centimeters.
Surface Area Unit Test 6 of 156 of 15 Items Question Use the image to answer the question. What is the surface area of the triangular prism? (1 point) square centimeters
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