How many faces, edges and vertices of a triangular prism
What is missing length of rectangular prism if height and width are both 8 inches. And surface area is 256 in^2
Write formula for surface area of triangular prism.
Surface area of a square pyramid is 160cm^2. The area of the lateral triangles is 96cm^2. What is length of one of the sides.
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What 2d shape do you get from a cross section of a triangular prism perpendicular to it’s base?
- A triangular prism has 5 faces, 9 edges, and 6 vertices.
- The missing length of the rectangular prism would be the length, which can be found by dividing the surface area by 2 times the sum of the height and width:
L = (Surface Area) / (2(h + w))
Substitute the given values:
L = 256 / 2(8 + 8) = 256 / 32 = 8 inches.
- The formula for the surface area of a triangular prism is:
Surface Area = 2(Base Area) + (Perimeter of Base)(Height)
- To find the length of one of the sides of a square pyramid, use the formula:
Surface Area = Base Area + 4 * (Lateral Area)
160 = s^2 + 4(96)
160 = s^2 + 384
Subtract 384 from both sides:
-224 = s^2
Take the square root of both sides:
s = 14.97 cm (approx)
- The 2D shape you get from a cross-section of a triangular prism perpendicular to its base is a triangle.