What is icosahedron?

Q: 5. How many rectangles would the net of a pentagonal pyramid have?

A: The net of a pentagonal pyramid consists of two pentagons and five rectangles .

Q: Is it possible to find the intersection of 2 spheres using matricies? if so how can I do tha

A: The important task of matrices is to represent a linear transformation. Using Cramer's rule we can…

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 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: Dilate quadrilateral ABCD using center A with a scale factor of 2. IB

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Q: A rectangular prism of metal having dimensions 4.3 cm by 7.2 cm by 2.4 cm is melted down and recast…

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Q: A tetrahedron is a polyhedron with four triangular faces. Can a plane intersect the tetrahedron…

A: A tetrahedron is a shape with four triangular faces as shown below. A quadrilateral is a polygon…

Q: How can we determine the difference between a pyramid and a prism?

A: Pyramid has one base and its faces are triangles, where as prism has two identical base and its…

Q: The roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet in the…

A: Given that the roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet…

Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 21? The length…

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Q: What is the perimeter of this trapezoids?

A: Given: a fig.

Q: 4. Explain why pentagons cannot form a regular tessellation.

A: To explain why pentagons cannot form a regular tessellation. Firstly, we define what is a regular…

Q: What is the perimeter of triangle KMP?

A: First we will use the relationship between mid line and the corresponding base.

Q: What is the storage capacity(volume) of its interior?

A: A pentagonal prism has five rectangular faces and two parallel pentagonal bases. Take 'b' is the…

Q: What is the length of the the midsegment of a trapezoid with bases of length 16 and 26? The length…

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Q: What is the length of the the midsegment of a trapezoid with bases of length 19 and 23? The length…

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Q: What is the volume of a square pyramid with base side length of 15 cm and height of 5 cm?

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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: 2. Consider a tetrahedron (i.e. a pyramid whose horizontal cross sections are triangles, shown…

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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: A triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area…

A: Given data: The side of the equilateral triangle base is a=10 cm. The surface area of the triangular…

Q: it possible to rotate a polygon to form a cube? Explain.

A: 10-gon

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 lateral area and total area of a rectangular hexagonal pyramid with later edges 13 and base…

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Q: What is a 5 sided polygon called?

A: A polygon is a flat, two-dimensional (2D) shape with straight sides that is fully closed (all the…

Q: Aregular pentagon is shown

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Q: How do you find the apothem of a polygon?

A: First, let's understand what an apothem is. Apothem is the line that connects the center of the…

Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

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Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

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Q: 14. The Transamerica building is located in San Francisco, California. Which geometric solid would…

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Q: A regular icosahedron has a volume of 200cm3. Find the length of the edge.

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Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 25? The length…

A: We will find the length of midsegment of the given trapezoid in the following step.

Q: What is the hypothenuse of an octagon?

A: Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find…

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: What is a cycloid?

A: we know that cycloid is the curve traced by a point on a circle as it rolls along a straight line…

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A: Given, Base side length, l= 6cm,Apothem, a=5.2 cmHeight, h=15 cm

Q: Determine the number of ways in which the faces of a regulardodecahedron(regular 12-sided solid) can…

A: First of all, let's understand what a regular dodecahedron (regular 12-sided solid) is?

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: Two cubes of same side 6 cm are joined end to end. Then, the total surface area of the new cuboid is…

A: Formula Used: Surface area of cuboid   Surface Area=2 [lb+bh+hl]

Q: Indicate which polyhedron is obtained by truncating the edges of a dodecahedron in half and…

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Q: what is Skewness and give eexample ?

A: SKEWNESS -  It can be described as how much statistical data distribution is asymmetrical from the…

Q: what is the edge length of a dodecahedron with a volume of 958 cubic inches

A: Given : volume of dodecahedron is 958 cubic inches . To find the edge length

Q: Is it possible to make a regular pyramid using an isosceles trapezoid as a base? Describe why or why…

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Q: What is the difference between a dome and a sphenoid?

A: difference between a dome and a sphenoid

Q: Explain the similarities and differences of a Sphere and a Mobius Strip

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Q: How do you construct a Obtuse Isosceles Circumcenter?

A: Here we will construct the circumcenter of obtuse isosceles triangle,

Q: he corners of a 2-meter square are cut off to form a regular octagon. What is the length of the…

A: Given : The corners of a 2-meter square are cut off to form a regular octagon.   To find the…

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: Is there a regular polygon with 7 diagonals? Yes No If so, how many sides does it have? (If such a…

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Q: What is the surface area of a regular hexagonal pyramid with base side length of 6 cm, apothem of…

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