the volume of tetrahedron having the vertices (3, -1, 1), (4, -4, 4), (1, 1, 1), (0, 0, 1) Select one: а. 2 b. 1 С. -1 d. -2

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: Solve for the area of a rhombus with sides of 20 cm and longer diagonal  of 32 cm

A:

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

A:

Q: An open box is to be made out of a 10-inch by 20-inch piece of cardboard by cutting out squares of…

A: Draw the diagram for the given problem for the given conditions and then find the volume

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

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: The given equation of plane is : x+2y+3z=6 x=6-2y-3z                   …(1) Volume of a rectangular…

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

A:

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y…

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A:

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

A:

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

A:

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

A:

Q: The sphere of diameter 24 cm is cut by two parallel planes, one passing 4 cm from the center and…

A: d = 24 cm one plane 4 cm from the center second plane 7 cm from the center

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A:

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

A:

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

A:

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

A:

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 largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: 2. Rectangle PORS with verlices P(1, 2). Q(2, 5), R(8, 3), and S(7. 0): y-axis

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

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

A:

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

A:

Q: Find the volume of a right triangular prism whose height is 4 and base is a right triangle with legs…

A: Find the area of base and then multiply the area with height.

Q: A rectangular block of alloy having dimensions 4.30 cm by 7.20 cm by 12.40 cm was melted and recast…

A:

Q: Find the volume of a right triangular prism whose altitude is 3m and a right triangular base whose…

A: Given, A right triangular prism whose altitude is 3m and a right triangular base whose legs are 1m…

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

A: Solution :

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),…

A:

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

A:

Q: Your job is to determine the coordinates of the remaining corners of the building; the side length…

A: given , Cube with A ,B ,C ,D are top vertex and A' ,B' , C' ,D' are the Down vertex that are touches…

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: Find the volume of a pyramid with height 21 and rectangular base with dimensions 2 and 12.

A:

Q: Find the volume of the parallelepiped with the sides ü = (3,1,2), v =(4,5,1), w=(1,2,4). %|

A:

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

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: Given that  Plane x+7y+10z=70  To find the largest volume

Q: A right circular cone of altitude 16 inches is cut by a plane parallel to the base and 7 inches from…

A:

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),…

A:

Q: What is the largest possible volume of a rectangular box whose diagonal has length L?

A:

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: A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The…

A:

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

A:

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 tetrahedron with the given vertices. (4, 0, 0), (0, 2, 0), (0, 0, 1), (4, 2,…

A:

Q: a. Find the area of the parallelogram formed by u and v. b. Find the volume of the tetrahedron whose…

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

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,…

A: