Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 4, 0), (0, 0, 4), (4, 4, 4)

Q: Find the volume of the pyramid (tetrahedron) with vertices at the points: A(-3,2,1), B(12,-1,0),…

A: Given vertices of the tetrahedron: A-3,2,1, B12,-1,0, C3,1,0 and D1,1,5 a) The vertices can be…

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

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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. (5, −5, 1), (3, −1, 4), (1, 1, 1),…

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

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

A: The vertices of tetrahedron are A(1, 1, 1), O(0, 0, 0), B(2, 1, −1),C (−1, 1, 2) Then,

Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume of the tetrahedron with the given…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the volume of tetrahedron given the following points (6, 7, 6), (8, 1, 9), (5, 7, 2), and (9,…

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Q: A rectangle with vertices (0, -2), (0,2) (3,2) and (3, -2) is rotated around the y- axis to form a…

A: Given problem:- A rectangle with vertices (0, -2), (0.2) (3,2) and (3, -2) is rotated around the y…

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: Alex throws a fair tetrahedral die numbered 1, 2, 3 and 4 and an octahedral (eight-sided) die…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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) volume of tetrahedron is equal to 16 of the…

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

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Q: Find the volume of a pyramid with an equilateral triangle base of length 2 on each side, and height…

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Q: A shipping container is in the shape of a triangular prism. The triangular ends of the prism must be…

A: Minimization problem

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 regular octahedron (which can be decomposed into two square pyramids) has an edge of length 2m.…

A: The volume of the square pyramids is: v=base area×height If the edge length is 'a' then the base…

Q: Example Find the dimensions of the rectangular box with an open top with largest volume if the total…

A: Given : Total surface area of the rectangular box is 216 cm²

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 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: 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: Compute the volume of a tetrahedron. (a) Illustrate the tetrahedron that has vertices at (0,0,0),…

A: Tetrahedron can also be seen as triangular pyramid, so the volume of tetrahedron is equal to the…

Q: A cube is a polyhedron that has 3 square faces meeting at each vertex. What would happen if you…

A: if you had 4 square faces meeting at the same spot, you would be working in 2 demensions, because…

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…

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

A: Note: The volume of a tetrahedron​ (pyramid with four triangular​ faces), all of whose edges have…

Q: One side of a regular octagon is 2. Find the area of the region inside the octagon.

A: Given  The one side of a regular octagon is 2.   Formula :- Area of rectangle is  A=2a21+2 Where a…

Q: A rectangular prism has a base with an edge of 40 units, an edge with 3 units, and a height of 30…

A: A rectangular prism has a base with an edge of 40 units. an edge with 3 units, and a height of 30…

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 dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: topic - application of derivatives

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: Find the volume of the tetrahedron with the given vertices. (-3, –3, –3) (3, –1, –3), (-3, –1, –3),…

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Q: Calculate the volume of the regular tetrahedron in the figure knowing that its edge AB=1Ocm.…

A: Given data: edge AB= a= 10 cm

Q: Find the volume of the tetrahedron with the given vertices.(5, 4, −3), (4, −6, −4), (−6, −6, −5),…

A: The vertices of the tetrahedron are: A(5, 4, −3), B(4, −6, −4), C(−6, −6, −5), D(0, 0, 10) We need…

Q: Vhat are the dimensions x, y, and z that result in the largest volume of the

A: Note: Here we find dimension for subpart submit this question again. Given: A covered box is to be…

Q: Build a rectangular pen with three parallel partitions using 500 feet of fencing. What dimensions…

A: Given,           Build a rectangular pen with three parallel partitions using 500 feet of fencing.To…

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

A: Given :  vertices of the tetrahedron are A(3, -1, 1), B(4, -4, 4), C(1,1,1) and D(0,0,1)   To find :…

Q: Annika needs to find the volume of this regular polygonal pyramid. What answer should she get? 12…

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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 parallelopiped with adjacent edges PQ, PR, PS where P(3, -4, -1), Q(5, -1,…

A: Given Points are:

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

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Q: a concrete beam is to rest on two concrete pillars. the beam is cuboid with sides of length 0.5m, 3m…

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Q: Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 2, 0), (0, 0, 1), (4, 2,…

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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: 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)

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

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