Surface Area Unit Test
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Question
Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
What is the surface area of the triangular prism?
(1 point)
square centimeters
To find the surface area of the triangular prism, we need to find the areas of each face and then add them together.
First, let's find the area of the front triangular face. The formula for the area of a triangle is:
Area = 0.5 * base * height
In this case, the base of the triangle is 5 cm and the height is 4 cm (one of the legs of the triangle). Plugging in the values, we get:
Area = 0.5 * 5 * 4
Area = 10 square cm
Next, let's find the area of the rectangular face. The formula for the area of a rectangle is:
Area = length * width
In this case, the length is 11 cm and the width is 5 cm. Plugging in the values, we get:
Area = 11 * 5
Area = 55 square cm
Now, let's find the area of the back triangular face. Since it is the same as the front triangular face, its area is also 10 square cm.
Now, we can calculate the total surface area of the triangular prism by adding the areas of all three faces:
Total Surface Area = 10 + 55 + 10
Total Surface Area = 75 square cm
Therefore, the surface area of the triangular prism is 75 square centimeters.