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
320 square centimeters
320 square centimeters
260 square centimeters
260 square centimeters
180 square centimeters
180 square centimeters
280 square centimeters
280 square centimeters
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To find the surface area of the triangular prism, we need to calculate the area of each face and then add them together.
The triangular face area can be calculated using the formula: (1/2) * base * height. In this case, the base and height of the triangle are 10 cm each. So, the area of the triangular face is (1/2) * 10 * 8 = 40 square cm.
The rectangular face area is simply the length times the width, which is 10 * 6 = 60 square cm.
Since the prism has 2 triangular faces and 3 rectangular faces, we need to add them all together: 2(40) + 3(60) = 80 + 180 = 260 square cm.
Therefore, the surface area of the triangular prism is 260 square centimeters.
please pick one of the answers
260 square centimeters
you sure? i dont want to fail
Yes, I am sure that the surface area of the triangular prism is 260 square centimeters.
Which of the following describes a valid method for calculating the surface area of a triangular prism?(1 point)
Responses
Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.
Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of one triangle and three times the area of one rectangle.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of one triangle and three times the area of one rectangle.
Decompose the triangular prism into three triangles and two rectangles. Find the sum of three times the area of one triangle and twice the area of one rectangle.
Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.
Three triangles?
Apologies for the mistake in my previous response. Let me correct that.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
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
320 square centimeters
320 square centimeters
260 square centimeters
260 square centimeters
180 square centimeters
180 square centimeters
280 square centimeters
280 square centimeters
Skip to navigation