The surface area of the triangular prism shown as a net can be calculated as follows:
Area of rectangles:
2 (base and top) rectangles = 2 * (8m * 3m) = 48m²
1 (middle) rectangle = 8m * 3m = 24m²
Area of triangles:
2 (left and right) triangles = 2 * 1/2 * (base * height) = 2 * 1/2 * (3m * 2.6m) = 7.8m²
Total surface area = 48m² + 24m² + 7.8m² = 79.8m²
Therefore, the surface area of the triangular prism shown as a net is 79.8 square meters.
Use the image to answer the question.,
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three horizontal rectangles joined one on top of another. All 4 sides of the middle rectangle are drawn with dashed lines. The length of all the rectangles is 8 meters. The width of all the rectangles is 3 meters. Two identical triangles adjoin the middle rectangle at the left and right, with the perpendicular height of the triangles measuring 2.6 meters.
What is the surface area of the triangular prism shown as a net? Round the answer to the nearest tenth.
(1 point)
m2
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7 answers
Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as a rectangle, a square, and another rectangle joined horizontally next to each other. The width of the two rectangles and the side of the square measure 3 centimeters. The length of the left rectangle is 4 centimeters. The side of the middle square, drawn in a dashed line, is 3 centimeters. The length of the right rectangle is 5 centimeters. Two right triangles adjoin the middle square at the top and bottom, with each perpendicular side measuring 4 centimeters and each hypotenuse measuring 5 centimeters.
What is the surface area of the shown net for a triangular prism?
(1 point)
cm2
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An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as a rectangle, a square, and another rectangle joined horizontally next to each other. The width of the two rectangles and the side of the square measure 3 centimeters. The length of the left rectangle is 4 centimeters. The side of the middle square, drawn in a dashed line, is 3 centimeters. The length of the right rectangle is 5 centimeters. Two right triangles adjoin the middle square at the top and bottom, with each perpendicular side measuring 4 centimeters and each hypotenuse measuring 5 centimeters.
What is the surface area of the shown net for a triangular prism?
(1 point)
cm2
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To calculate the surface area of the triangular prism shown as a net, we need to find the areas of each of the shapes on the net and then add them up.
1. Area of rectangle on the left:
Length = 4 cm, Width = 3 cm
Area = Length * Width
Area = 4 cm * 3 cm
Area = 12 cm²
2. Area of square in the middle:
Side = 3 cm
Area = Side * Side
Area = 3 cm * 3 cm
Area = 9 cm²
3. Area of rectangle on the right:
Length = 5 cm, Width = 3 cm
Area = Length * Width
Area = 5 cm * 3 cm
Area = 15 cm²
4. Area of each right triangle:
Base = 3 cm, Height = 4 cm
Area = 1/2 * Base * Height
Area = 1/2 * 3 cm * 4 cm
Area = 6 cm²
Total area for both triangles = 2 * 6 cm² = 12 cm²
Now, add up the areas:
12 cm² (left rectangle) + 9 cm² (middle square) + 15 cm² (right rectangle) + 12 cm² (two triangles) = 48 cm²
Therefore, the surface area of the shown net for a triangular prism is 48 square centimeters.
1. Area of rectangle on the left:
Length = 4 cm, Width = 3 cm
Area = Length * Width
Area = 4 cm * 3 cm
Area = 12 cm²
2. Area of square in the middle:
Side = 3 cm
Area = Side * Side
Area = 3 cm * 3 cm
Area = 9 cm²
3. Area of rectangle on the right:
Length = 5 cm, Width = 3 cm
Area = Length * Width
Area = 5 cm * 3 cm
Area = 15 cm²
4. Area of each right triangle:
Base = 3 cm, Height = 4 cm
Area = 1/2 * Base * Height
Area = 1/2 * 3 cm * 4 cm
Area = 6 cm²
Total area for both triangles = 2 * 6 cm² = 12 cm²
Now, add up the areas:
12 cm² (left rectangle) + 9 cm² (middle square) + 15 cm² (right rectangle) + 12 cm² (two triangles) = 48 cm²
Therefore, the surface area of the shown net for a triangular prism is 48 square centimeters.
Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three vertical rectangles joined next to each other. All 4 sides of the middle rectangle are drawn with dashed lines. The length of the rectangles is 9 centimeters. The width of the middle rectangle is 5 centimeters. Two right triangles adjoin the middle rectangle at the top and bottom. The perpendicular side measures 12 centimeters and the hypotenuse measures 13 centimeters.
Using the net, what is the surface area of the triangular prism?
(1 point)
cm2
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An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three vertical rectangles joined next to each other. All 4 sides of the middle rectangle are drawn with dashed lines. The length of the rectangles is 9 centimeters. The width of the middle rectangle is 5 centimeters. Two right triangles adjoin the middle rectangle at the top and bottom. The perpendicular side measures 12 centimeters and the hypotenuse measures 13 centimeters.
Using the net, what is the surface area of the triangular prism?
(1 point)
cm2
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To calculate the surface area of the triangular prism shown as a net, we will find the areas of each shape on the net and then add them up.
1. Area of the left and right rectangles:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm² (for each rectangle)
2. Area of the middle rectangle:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm²
3. Area of each right triangle:
Base = 5 cm, Height = 12 cm, Hypotenuse = 13 cm
Area = 1/2 * Base * Height
Area = 1/2 * 5 cm * 12 cm
Area = 30 cm²
Total area for both triangles = 2 * 30 cm² = 60 cm²
Now, add up the areas:
45 cm² (left rectangle) + 45 cm² (middle rectangle) + 45 cm² (right rectangle) + 60 cm² (two triangles) = 195 cm²
Therefore, the surface area of the shown net for a triangular prism is 195 square centimeters.
1. Area of the left and right rectangles:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm² (for each rectangle)
2. Area of the middle rectangle:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm²
3. Area of each right triangle:
Base = 5 cm, Height = 12 cm, Hypotenuse = 13 cm
Area = 1/2 * Base * Height
Area = 1/2 * 5 cm * 12 cm
Area = 30 cm²
Total area for both triangles = 2 * 30 cm² = 60 cm²
Now, add up the areas:
45 cm² (left rectangle) + 45 cm² (middle rectangle) + 45 cm² (right rectangle) + 60 cm² (two triangles) = 195 cm²
Therefore, the surface area of the shown net for a triangular prism is 195 square centimeters.
wrong try again bot
To calculate the surface area of the triangular prism shown as a net, we need to find the areas of each of the shapes on the net and then add them up.
1. Area of the top and bottom rectangles:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm² (for each rectangle)
2. Area of the middle rectangle:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm²
3. Area of each right triangle:
Base = 5 cm, Height = 12 cm, Hypotenuse = 13 cm
Area = 1/2 * Base * Height
Area = 1/2 * 5 cm * 12 cm
Area = 30 cm²
Total area for both triangles = 2 * 30 cm² = 60 cm²
Now, add up the areas:
45 cm² (top rectangle) + 45 cm² (middle rectangle) + 45 cm² (bottom rectangle) + 60 cm² (two triangles) = 195 cm²
Therefore, the surface area of the shown net for a triangular prism is 195 square centimeters.
1. Area of the top and bottom rectangles:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm² (for each rectangle)
2. Area of the middle rectangle:
Length = 9 cm, Width = 5 cm
Area = Length * Width
Area = 9 cm * 5 cm
Area = 45 cm²
3. Area of each right triangle:
Base = 5 cm, Height = 12 cm, Hypotenuse = 13 cm
Area = 1/2 * Base * Height
Area = 1/2 * 5 cm * 12 cm
Area = 30 cm²
Total area for both triangles = 2 * 30 cm² = 60 cm²
Now, add up the areas:
45 cm² (top rectangle) + 45 cm² (middle rectangle) + 45 cm² (bottom rectangle) + 60 cm² (two triangles) = 195 cm²
Therefore, the surface area of the shown net for a triangular prism is 195 square centimeters.