Assume that the number of sides in the base of a pyramid is n. Generalize the results found in earlier exercises by answering each of the following questions. a) What is the number of vertices? b) What is the number of lateral edges? c) What is the number of base edges? d) What is the total number of edges? e) What is the number of lateral faces? f) What is the total number of faces?

Q: A square pyramid has a base edge length of 14 feet and a slant height of 25 feet. What is the volume…

A: We have to find the volume of the pyramid.

Q: Generalize the results found in Exercises 11 and 12 by answering each of the following questions.…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: 4. Find the volume of a three-sided pyramid with height h and base an equilateral triangle with side…

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Q: If the side of the cube is 2 cm , then the surface area of the cube is. O 24 sq. cm. O 48 cubic cm.…

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Q: The basic edges of a hair triangular prism are 10 cm. 17 cm and 21 cm. Calculate the area of a…

A: To find the area of intersection of the prism, use the formula for the area of a triangle,…

Q: 1. In a closed polygon of N sides, (a) what is the total of all interior angles? (b) what is the…

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

Q: 1- Put estimate the and Lercantinge of busying and Seuing of 5 items? Hem! in shop seling of s…

A: 2.

Q: 13 Assume that the number of sides in the base of a pyramid is n. Generalize the results found in…

A: Given that Number of side in the base of Pyramid is n

Q: Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

A: Given: Radius of base circle r=2.886 cm Height of pyramid  h=7 cm

Q: A regular tetrahedron is a regular triangular pyramid in which all faces (lateral faces and base)…

A: a) Show that the area of each face is A=e234.

Q: A square pyramid is on top of a square prism.Their bases are congruent.How many faces,vertices,and…

A: We have a square pyramid on top of a square prism. Now, a square pyramid has 5 faces, 8 edges and 5…

Q: What is the area of a regular nonagon with an apothem of 5.6 cm and a side length of 4.1 cm? O…

A: Area of regular polygon  A= (rs)2where, r is apothem of polygon           s is side of polygonIf p…

Q: Consider the triangular prism shown in Exercise 2. a) How many vertices does it have? b) How many…

A: A triangular prism is as shown below :

Q: 4. What is the volume of the square pyramid with base edges 10 in. and height 9 in.? 9 in. 10 in.

A: We can find the volume as below.

Q: 2. The number of diagonals of a regular polygon is 65. Find the area of the polygon if its apothem…

A:

Q: Based on the net, classify the following solid: O Pentagonal Pyramid O Square Pyramid Rectangular…

A: we are given two figures  both being a pyramid.

Q: Write a formula that connects the number of sides of the base, S, with the number of edges, E.…

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Q: Find the volume of the Pyramid. 6 ini 7 in. 8 in.

A:

Q: 32.) What is the volume of a 6 foot high square pyramid with base edges of 8 feet?

A: Base = 8 feet height = 6 feet Volume of square pyramid = Area of base * height…

Q: 3. Find the perimeter and area of a solar panel in the shape of kite with dimensions given in the…

A: Given A solar panel in the shape of kite with dimensions .

Q: Determine the number of sides in a regular polygon whose central angles each measure 24°

A:

Q: 3. What is the surface area of a rectangular prism with a height of 12 feet, a width of 8 feet, and…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: What is the surface area of a regular pentagonal pyramid with base side length of 8 cm, apothem of…

A:

Q: ind the volume of the tetrahedron having the given vertices. (-6, –6, –5), (5, 4, –4), (4, –6, –3),…

A: The given coordinates are -6,-6,-5,5,4,-4,4,-6,-3,0,0,10 We have to find the volume of the…

Q: 8. What is the volume of the square pyramid with base edges 18 m and slant height 15 m? 15 m 18 m…

A:

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm? and that…

A: Consider the given: Find the volume of Prism: The Volume of Prism = Base Area ×height It is given…

Q: Find the volume of a right hexagonal prism with a height of 20 centimeters, a base width of 10…

A: Use volume formula of hexagonal prism

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

A:

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in and that…

A: A triangular prism is a 3-sided prism. Given that, each of the bases of a triangular prism has an…

Q: If semicircles are cut off from along each of the two breadths of a rectangle, then the perimeter of…

A:

Q: 11. A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does…

A: Number of vertices 2n Number of lateral edges n Number of base edges 2n Total number of edges…

Q: 25. What is the approximate area of a regular pentagon with apothem length 6.3 cm and each base edge…

A:

Q: Each pattern below is made of six congruent squares which pattern can be folded into a cube that has…

A: Surface  area of cube = 6a2 = 96                                ⇒a2 = 9616 = 16…

Q: The base of a pyramid has n sides.  a. how many lateral faces does it have? b. how many faces does…

A: The base of a pyramid has n sides

Q: What is the area of a regular pentagon with an apothem of 4.9 cm and a side length of 7.1 cm? O…

A:

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

A:

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

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Q: 12. Find the volume of the given pyramid, which has a square base of area 9 and height 5. 3

A:

Q: In the figure above, a regular nonagon (9-sided) has been divided into 9 congruent isosceles…

A: 1. In a regular polygon, each of its internal angles has a measure of 140. How many sides does it…

Q: . Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

A:

Q: 4.Find that length of canvas ¾ meters wide is required to make a conical tent 8 meters in diameter…

A: To find the length of canvas 34 meters wide is required to make a conical tent 8 meters in diameter…

Q: Consider the accompanying figure. When the four congru- ent isosceles triangles are folded upward, a…

A: The given figure:

Q: What is the area of a regular octagon with an apothem of 9.3 cm and a side length of 7.7 cm? O…

A:

Q: A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does it…

A: Given:A  solid is  an octagonal prism   Octagonal prism has10 faces24 edges16 vertices

Q: From a 24-cm by 24-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given that: Size of paper = 24cm x 24cmSize of the cut = xcm

Q: Consider the pentagon  How many non-overlapping triangles can an n-sided figure be split into?

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Q: What is the measure of the apothem of the hexagonal base? (c) What is the area of the hexagonal…

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Q: 6. What is the volume of the square pyramid with base edges 4 m and height 3 m? 3 m 4 m 4 m 8 m3

A: