Question
Use the image to answer the question.
A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.
What is the surface area of the triangular prism?
(1 point)
square centimeters
wrong
To find the surface area of the triangular prism, we need to calculate the areas of the three visible faces: the front triangular face, the right rectangular face, and the bottom rectangular face.
1. Front triangular face:
The area of a triangle can be calculated using the formula A = 1/2 * base * height.
In this case, the base is 6 cm and the height is 8 cm.
A = 1/2 * 6 * 8 = 24 square cm
2. Right rectangular face:
The area of a rectangle can be calculated using the formula A = length * width.
In this case, the length is 10 cm and the width is 9 cm.
A = 10 * 9 = 90 square cm
3. Bottom rectangular face:
The base of the triangle is also the base of the bottom rectangular face, so its length is 6 cm. The width is 9 cm.
A = 6 * 9 = 54 square cm
Now, add the areas of the three faces together to find the total surface area:
24 + 90 + 54 = 168 square cm
Therefore, the surface area of the triangular prism is 168 square centimeters.