Find the volume of thasparallelepiped with one vertex at the origin and adjacent vertices at (1,0, - 3), (1,3,3), and (6,2,0). The volume of the parallelepiped is (Type an integer or a decimal.)

Q: Use calculus to find the volume of a tetrahedron (pyramid with four triangular faces), all of whose…

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Q: Find the dimensions of the box with square base, surface area 20, and maximal volume.

A: A box with square base has surface area 20we have to find its dimension and maximum volume.

Q: the volume of tetrahedron having the vertices (3, -1, 1), (4, -4, 4), (1, 1, 1), (0, 0, 1) Select…

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Q: Calculate the volume of the parallelepiped spanned by PQ, PR and .

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Q: Find the dimensions of the rectangular box of maximum volume that has three of its faces in the…

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Q: 24. Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1,…

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Q: Find the volume of the tetrahedron with the given vertices. (1, 0, 0), (0, 2, 0), (0, 0, 1), (1, 2,…

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Q: Find the volume of the tetrahedron having the given vertices (3, -3, 1), (3, -2, 4), (1, 1, 1), (0,…

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Q: Prove (via geometry) that the area of a cyclic quadrilateral is the maximum possible for any…

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Q: Calculate the volume of a triangular mussel pie whose side edges are mutually perpendicular and have…

A: Given triangular prism of side edges are  10,15,9 cm. Volume of triangular prism = (1/2)*a*b*c V =…

Q: Find the volume of the parallelepiped defined by ?⃗= [1, 0, –4], ?⃗ = [8, –7, 9], and ?⃗ = [2, 3,…

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Q: Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area…

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Q: What is the general formula for the number of edges of a hypercube in N dimensions

A: So, the total number of edges of N-dimensional hypercube is N(2N-1)

Q: 2. Calculate the volume of the parallelepiped created by PA, PB and PC, when P (3, - 2, 1), A(5, -…

A: Given that, parallelepiped with edges PA→, PB→ and PC→ Where, P3,-2,1, A5,-6,0, B0,-6,-4 and…

Q: If the farmer has 246 feet of fencing, what are the dimensions of the region which enclose the…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, 3),    Q(−1, 1, 7),…

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Q: Find the volume of the tetrahedron with the given vertices.(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1,…

A: We have given the vertices of tetrahedron; (1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1) Since volume…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS: P(-2,1,0), Q(2,3,2),…

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Q: Find the volume of a parallelepiped if four of its eight vertices are P(0,0, 0), Q(3, 4, 0), R(0,…

A: Let, P, Q, R, S be the four vertices of a parallelepiped. Then, we find the vectors, a=PQb=PRc=PS…

Q: A hexagonal pyramid (not regular) with base ABCDEF has plane symmetry with respect to a plane…

A: Given that, the volume of the pyramid with apex G and base ABCD is 16.9 cubic inch. The current…

Q: What are the solids that are formed in the given net?

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Q: Calculate the volume of a regular quadrilateral - pyramid if the base edge a = 10 cm and the apothem…

A: We can find the volume of the figure as below

Q: 20. Find the volume of the parallelepiped with adjacent edges u = (-2, 0.75, 4), v = (6, -0.3, 8),…

A: Solution :

Q: A hexagonal pyramid (not regular) with base ABCDEF has plane symmetry with respect to a plane…

A: The pyramid has plane symmetry with respect to a plane determined by vertex G and vertices A and D…

Q: Find the volume of the tetrahedron having the given vertices. (4, -4, 1), (3, -5, 4), (2, 1, 1), (0,…

A: The given vertices are named as follows. P(4, -4, 1), Q(3, -5, 4), R(2, 1, 1) and S( 0, 0, 1).…

Q: Find the volume of the tetrahedron having the given vertices. (5, -5, 1), (3, -4, 4), (1, 1, 1), (0,…

A: We have to find the tetrahedron

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(-2,1,0), Q(2,3,2),…

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Q: A cubical box has one of its edge equal to 4cm. Pass a plane to the cube so that the section form…

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Q: Find the volume of the tetrahedron with the given vertices.(3, −1, 1), (4, −4, 4), (1, 1, 1), (0, 0,…

A: Find the vectors representing the edges of the tetrahedron.

Q: Use calculus to find the volume of a tetrahedron​ (pyramid with four triangular​ faces), all of…

A: If a solid is from x =a to x= b and the area of its base is A then the volume of the solid is given…

Q: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the…

A: Given:              A regular polyhedron of n faces is inscribed in a sphere of radius length 6 in.

Q: Find the volume of the tetrahedron with the given vertices.(0, 0, 0), (0, 2, 0), (3, 0, 0), (1, 1,…

A: The given vertices of a tetrahedron are (0,0,0), (0,2,0), (3,0,0) ,(1,1,4)

Q: Find the volume of the parallelepiped defined by the inequalities 0≤2x−3y+z≤5,1≤x+2y≤4,−3≤x−z≤6.

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Q: Find the volume of the parallelepiped with. adjacent edges PQ, PR, and PS, where P(-2,1,0),…

A: Given- P-2,1,0,Q2,3,2,R1,4,4 and S3,6,1 To Find- The volume of the parallelepiped with the adjacent…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, where P (1,1, 1), Q (2,0,3,), R =…

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Q: Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0,…

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Q: Find the volume of a tetrahedron if the vertices are (1,1,1) , ( 5,-7,3) , (7,4,8) and (10,7,4)

A: Solution:- find position vector

Q: The volume of the parallelepiped whose adjacent edges are V = (2,3,4), ū = (1,2,–1) and w= (3,–1,2)…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(3, 4, 3),…

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Q: 3. * 2 points the volume of a parallelepiped whose edges are repreented by – 12î + Âk , 3ĵ – k , 2î…

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Q: 2 Find the volume of the parallelepiped with sides u(1, -3, -1). v3(0. 4, -2). and न् 6. 3).

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Q: Evaluate the triple integral. JUr ryz dV where Tis the solid tetrahedron with vertices (0,0,0),…

A: Find: ∭Txyz dV Obtain the equation of the plane that contains the points 0, 0, 0, 1, 1, 0 and 1, 0,…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(3, 0, 1), Q(2, 3,…

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Q: Find the volume of the parallelepiped whose edges are represented by: A=2i-3j+4k , B=i+2j-k and C=…

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Q: Find the volume of the reqion bauoded the parabolalde2=4-x2-42 3 below the parabolaid aboue by

A: We need to find the volume of the region bounded above by the paraboloid above z = 4 - x2 - y2 and…

Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(3, -4, -1), Q(5, -1,…

A: Given Points are:

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(2, 0, −1),    Q(3, 1, 2),…

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Q: Square ABCD has side length 2/3. Determine the exact area of the region inside square ABCD…

A: For the solution of the problem follow the next step.

Q: the volume of tetrahedron having the vertices (3, -1, 1), (4, -4, 4), (1, 1, 1), (0, 0, 1) Select…

A: Given vertices (3, −1, 1), (4, −4, 4), (1, 1, 1), (0, 0, 1)