First, we need to calculate the area of each individual rectangle:
- The top and bottom rectangles have dimensions 7mm x 8mm = 56mm² each
- The middle rectangle has dimensions 7mm x 8mm = 56mm² for the sides, and 2 x 7mm x 8mm = 112mm² for the front and back
Next, we need to calculate the area of the two triangles:
- The area of each triangle is (1/2) x base x height, so (1/2) x 6mm x 8mm = 24mm² each
Now, we can add up all the areas to find the total surface area:
56mm² + 56mm² + 112mm² + 24mm² + 24mm² = 272mm²
Therefore, the surface area of the triangular prism is 272mm².
Use the image to answer the question. m
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 one on top of the other. All 4 sides of the middle rectangle are drawn with dashed lines. The width of the rectangles is 7 millimeters. The length of the middle rectangle is 8 millimeters. Two right triangles adjoin the middle rectangle on the left and the right, with the perpendicular sides measuring 6 millimeters and the hypotenuse measuring 10 millimeters.
Using the net of the prism shown, what is its surface area?
(1 point)
mm2
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9 answers
do it again
Of course! Let's calculate the surface area of the triangular prism again using the net provided in the illustration.
First, let's calculate the area of each individual rectangle:
- Top and bottom rectangles: 7mm (width) x 8mm (length) = 56mm² each
- Middle rectangle: 7mm (width) x 8mm (length) = 56mm² (sides) and 2 x 7mm (width) x 8mm (height) = 112mm² (front and back)
Next, let's calculate the area of the two triangles:
- Triangles: (1/2) x base x height = (1/2) x 6mm x 8mm = 24mm² each
Now, let's add up all the areas to find the total surface area:
56mm² (top) + 56mm² (bottom) + 56mm² (middle sides) + 112mm² (middle front and back) + 24mm² (triangle 1) + 24mm² (triangle 2) = 328mm²
Therefore, the surface area of the triangular prism is 328mm².
First, let's calculate the area of each individual rectangle:
- Top and bottom rectangles: 7mm (width) x 8mm (length) = 56mm² each
- Middle rectangle: 7mm (width) x 8mm (length) = 56mm² (sides) and 2 x 7mm (width) x 8mm (height) = 112mm² (front and back)
Next, let's calculate the area of the two triangles:
- Triangles: (1/2) x base x height = (1/2) x 6mm x 8mm = 24mm² each
Now, let's add up all the areas to find the total surface area:
56mm² (top) + 56mm² (bottom) + 56mm² (middle sides) + 112mm² (middle front and back) + 24mm² (triangle 1) + 24mm² (triangle 2) = 328mm²
Therefore, the surface area of the triangular prism is 328mm².
try it again
Absolutely! Let's calculate the surface area of the triangular prism using the net provided in the illustration.
First, let's find the area of each individual rectangle:
- Top and bottom rectangles: 7mm (width) x 8mm (length) = 56mm² each
- Middle rectangle: 7mm (width) x 8mm (length) = 56mm² (sides) and 2 x 7mm (width) x 8mm (height) = 112mm² (front and back)
Next, let's calculate the area of the two triangles:
- Triangles: (1/2) x base x height = (1/2) x 6mm x 8mm = 24mm² each
Now, we'll add up all the areas to determine the total surface area:
56mm² (top) + 56mm² (bottom) + 56mm² (middle sides) + 112mm² (middle front and back) + 24mm² (triangle 1) + 24mm² (triangle 2) = 328mm²
Therefore, the surface area of the triangular prism is 328mm².
First, let's find the area of each individual rectangle:
- Top and bottom rectangles: 7mm (width) x 8mm (length) = 56mm² each
- Middle rectangle: 7mm (width) x 8mm (length) = 56mm² (sides) and 2 x 7mm (width) x 8mm (height) = 112mm² (front and back)
Next, let's calculate the area of the two triangles:
- Triangles: (1/2) x base x height = (1/2) x 6mm x 8mm = 24mm² each
Now, we'll add up all the areas to determine the total surface area:
56mm² (top) + 56mm² (bottom) + 56mm² (middle sides) + 112mm² (middle front and back) + 24mm² (triangle 1) + 24mm² (triangle 2) = 328mm²
Therefore, the surface area of the triangular prism is 328mm².
so is the answer 328m squared 2
Yes, the correct surface area of the triangular prism, based on the net provided in the illustration, is indeed 328mm². Thank you for your patience.
ur wrong try it again bot
Let's calculate the surface area of the triangular prism using the net provided in the illustration.
First, let's find the area of each individual rectangle:
- Top and bottom rectangles: 7mm (width) x 8mm (length) = 56mm² each
- Middle rectangle: 7mm (width) x 8mm (length) = 56mm² (sides) and 2 x 7mm (width) x 8mm (height) = 112mm² (front and back)
Next, let's calculate the area of the two triangles:
- Triangles: (1/2) x base x height = (1/2) x 6mm x 10mm = 30mm² each
Now, we'll add up all the areas to determine the total surface area:
56mm² (top) + 56mm² (bottom) + 56mm² (middle sides) + 112mm² (middle front and back) + 30mm² (triangle 1) + 30mm² (triangle 2) = 340mm²
Therefore, the correct surface area of the triangular prism is 340mm².
First, let's find the area of each individual rectangle:
- Top and bottom rectangles: 7mm (width) x 8mm (length) = 56mm² each
- Middle rectangle: 7mm (width) x 8mm (length) = 56mm² (sides) and 2 x 7mm (width) x 8mm (height) = 112mm² (front and back)
Next, let's calculate the area of the two triangles:
- Triangles: (1/2) x base x height = (1/2) x 6mm x 10mm = 30mm² each
Now, we'll add up all the areas to determine the total surface area:
56mm² (top) + 56mm² (bottom) + 56mm² (middle sides) + 112mm² (middle front and back) + 30mm² (triangle 1) + 30mm² (triangle 2) = 340mm²
Therefore, the correct surface area of the triangular prism is 340mm².
1 answer