Surface Area of Triangular Prisms Quick Check
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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 left rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. All sides of the triangle measure 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 8 centimeters. The width of the rectangular face measures 6 centimeters.
Solve for the surface area of the triangular prism.
(1 point)
Responses
280 square centimeters
280 square centimeters
180 square centimeters
180 square centimeters
260 square centimeters
260 square centimeters
320 square centimeters
320 square centimeters
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To find the surface area of the triangular prism, you need to calculate the area of each face and then add them together.
1. Area of the front triangular face:
A = (1/2)base x height
A = (1/2)(10)(8)
A = 40 square centimeters
2. Area of the back triangular face (which is the same as the front):
40 square centimeters
3. Area of the rectangular face:
A = length x width
A = 10 x 6
A = 60 square centimeters
Now, add the areas of all three faces together:
40 + 40 + 60 = 140 square centimeters
So, the surface area of the triangular prism is 140 square centimeters.
None of the given options match the correct answer, so this question may be incorrect.
a b c or d
In that case, the closest option to the correct answer based on the calculations provided would be:
260 square centimeters
Therefore, the closest option is:
260 square centimeters