Find the volume of the regular octahedron shown here. All edges
are 20 in.
Find the volume of the regular octahedron shown here. All edges are 20 in.
Find the total surface area of the regular octahedron shown
here. All edges are 5 cm.
Here is a picture of an octahedron, which is a regular (Platonic) solid with 8 triangular faces, 12 edges, and 6 vertices. You can imagine an octahedron as two pyramids with square bases, which are then glued together along their bases. octahedron We can turn a polyhedron into a graph by placing its vertices in the plane, and adding edges between those vertices which share an edge on the solid. If we do this to the octahedron, we get the...
Find the area of the regular figure shown here when the apothem
is 5 meters, the base is 3 meters, and the radius of the circle is
2.5 meters.
Apothem Base
Remarks: All the graphs here are without self loops and parallel edges, and anti-parallel edges. When we speak of a flow network, we mean there are capacities c(e) ? 0 on the edges, the graph G is directed with a source s and a destination t. In all the algorithms, always explain their correctness and analyze their complexity. The complexity should be as small as possible. A correct algorithm with large complexity, may not get full credit. • Question 3:...
(b) Find the area of the triangle PQR.
Find the volume of the parallelepiped with adjacent edges PQ,
PR, and PS. P(−2, 1, 0), Q(3, 5, 3), R(1, 4, −1), S(3, 6, 2)
9. +5/10 points | Previous Answers SCalcET8 12.4.029 Consider the points below. (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. 〈0.16,-8) (b) Find the area of the triangle PQR. Need Help? Read It Watch It Talk to a Tutor...
Problem 2 A regular tetrahedron has six edges of length a. A force P is directed as shown along edge BC. Determine the moment of P about edge OA
All edges of a cube have length S 4.9 measured in inches. What is the volume of this cube measured in cm? (Hint: The volume of a cube is given by V = S3 if S is the length of an edge.)
Graphs (15 points) 14. For the following graph (8 points): a. Find all the edges that are incident of v1: b. Find all the vertices that are adjacent to v3: C. Find all the edges that are adjacent to e1: d. Find all the loops: e. Find all the parallel edges: f. Find all the isolated vertices: g. Find the degree of v3: h. Find the total degree of the graph: e3 e2 V2 VI 26 e4 e7 es 05...
Problem 1 A parallelepiped with edges a, b, c was deformed as shown on the figure. Find the strain tensor in the linear approximation assuming that 0 is small. Remember, the answer must be a 3x3 tensor Problem 2. For the deformation from the previous problem assuming that the sheer modulus is u find: 1. The stress tensor 2. The force F which has to be applied to the top surface 3. Total torque of all external forces. 4. Are...
Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(-5, 3, 5), Q(-3, 6, 8), R(-6, 2, 4), S(1, 1, 7).