4. In a regular pentagonal pyramid, each edge of the base has length of 9.2 cm, anapothem of length 6.3 cm and altitude of length 14.6 cm. Find:a. The base area of the pyramid.b. The volume of the pyramid. 4. In a regular pentagonal prism, each side of the bases has length of 9.2 cm and theapothem of the base is 6.3 cm. The altitude of the prism as length of 14.6 cm.Find:a. The lateral area.b. The total area.c. The volume.

Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

4. In a regular pentagonal pyramid, each edge of the base has length of 9.2 cm, an apothem of length 6.3 cm and altitude of length 14.6 cm. Find: a. The base area of the pyramid. b. The volume of the pyramid.

4. In a regular pentagonal pyramid, each edge of the base has length of 9.2 cm, an apothem of length 6.3 cm and altitude of length 14.6 cm. Find: a. The base area of the pyramid. b. The volume of the pyramid.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.2: Pyramids, Area, And Volume

Problem 23E

See similar textbooks

Related questions

Q: Find the volume of a square pyramid with base edges 9 and height 5.

A: Given Square pyramid with base edge 9 and height 5

Q: shown in

Q: What is the volume of a rectangular pyramid, with a height of 12 in., length of 10 in., and width of…

A: The length is 10 in, width is 8 in, height is 12 inTo find volume

Q: The volume of the frustum of a regular triangular pyramid is 135 cu m. The lower base is an…

Q: Find the volume of a frustum of a regular hexagonal pyramid with the base edges of 6 cm and 8 cm,…

Q: Compute the volume and surface area of a right regular octagonal pyramid for which the side of the…

Q: A regular decagonal prism has side length 8 m, apothem 12.31 m and height 9 m. Find the total…

Q: What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base…

A: Given

Q: Find the surface area of the triangular pyramid below, if each triangular face has a base of 5…

A: Given query is to find the area of the pyramid.

Q: Find the volume of the square pyramid below

Q: Find the surface area and the volume for the following regular pyramids. 10. 11. 12. slant height:…

A: ACCORDING TO BARTLEBY GUIDELINES, SOLUTION OF ONLY 1ST QUESTION WILL BE PROVIDED.

Q: Find the total surface area of the following regular triangular pyramid with a height of 5 cm and a…

Q: What is the surface area of a right regular hexagonal prism with a base length of 10 meters, an…

Q: A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 9 in. and that…

A: Given, Length of base edge (b) = 9 in Altitude of prism (h) = 10 in Apothem of the base = 6.2 in

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

A: Surface area of a hexagonal pyramid = 3ab+3bs a is apothem length.b is base length.s is slant…

Q: If the volume of a square-based pyramid is 96 m with a base length of 12 m, then what is its height?…

A: Solve the following

Q: Find the surface area of the regular pyramid shown to the nearest whole number.

Q: Find the surface area of a square pyramid with side length 5 in and slant height 5 in. 5 ih 5 in 5…

A: Given data is: Side length a=5 in Slant height l=5 in To find the surface area of square pyramid.

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

Q: 6. Find the volume a rectangular pyramid with length 23 m, width 18 m, and height 11 m.

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

Q: In the regular pentagonal pyramid, each lateral edge measures 8 in., and each base edge measures 6…

A: Area of a pentagon is: Area=52×Apothem×Base side Area of a triangle using Heron's formula:…

Q: Determine the volume of a frustum of a regular hexagonal pyramid if the base edges are 13 m and 37…

Q: 10. A right pyramid has a square base and a lateral area of 144 in?. If the slant heights is twice…

Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

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 mid-section area of the prismatoid if its volume is 1200 cm2 the height is 18cm2 , the…

A: Volume of prismatoid is given by V=16hA1+M+A2 where h denotes the height of prismatoid, A1 is the…

Q: Suppose that each of the bases of the hexagonal prism below has an area of 16 cm2 and that each…

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: Suppose that each of the bases of the hexagonal prism below has an area of 15 cm2 and that each…

Q: What is the surface area of the regular pyramid? What is the surface area of a square pyramid with a…

Q: Find the surface area and Volume of the regular pyramids.

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the volume of the regular square pyramid shown if each edge of the base measures 5 ft and the…

A: Consider the given figure as Given edge of the base 5ft and altitude 6ft

Q: calculate the apothem, area of the base, and surface area of a hexagonal prism with a side length of…

A: Regular Hexagonal prism has length of edge a=4 cm and height h=12 cm (1) Base area : AB=33a22…

Q: For the regular pentagonal base, each edge measures 3.2 cm and the apothem measures 2 cm. a) Find…

A: a) Find the area of the regular pentagonal base.

Q: Find the volume of a regular hexagonal pyramid with height 8 cm andbase edges 6 cm.

A: To find the volume of a regular hexagonal pyramid with height 8 cm andbase edges 6 cm. Given base…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that…

A: a) Obtain the lateral area of the given prism as follows. Lateral Area,…

Q: 3. What is the surface area of this regular pyramid? 12 ft 10 ft 240 ft2 O 250 ft? O 340 ft? 300 ft?

A: This question is based on simple formula of surface area of a pyramid.

Q: A regular octagon has an apothem of approximately 4.2 cm and a perimeter of approximately 28.0 cm.…

A: Area of regular octagon in terms of apothem and perimeter is given as Area=12×apothem×perimeter

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

Q: Find the surface area of a square pyramid with side length 2 in and slant height 5 in. 5 in 2 in 2…

Q: 3. What is the surface area of this regular pyramid? 12 ft 10 ft O 240 ft2 300 ft2 O 340 ft2 O 250…

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

A: The given figure:

Q: Find the surface area of a square pyramid with side length 18 in and height 12 in

A: We can find the surface area as below.

Q: Find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4cm and 6cm,…

A: To find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4 cm and 6…

Q: 25 in. 24 in. 15 in.

A: Formula of Lateral area, AL=12×PB×HS For pentagonal pyramid, PB=5a HS=h2+1205+25a2

Q: Find the surface area of a square pyramid with side length 2 mi and slant height 4 mi. 4 mi 2 mi 2…

A: The surface area of the square pyramid can be calculated by using formula, S.A=a2+2al , where a is…

Question

4. In a regular pentagonal pyramid, each edge of the base has length of 9.2 cm, an
apothem of length 6.3 cm and altitude of length 14.6 cm. Find:
a. The base area of the pyramid.
b. The volume of the pyramid.

4. In a regular pentagonal prism, each side of the bases has length of 9.2 cm and the
apothem of the base is 6.3 cm. The altitude of the prism as length of 14.6 cm.
Find:
a. The lateral area.
b. The total area.
c. The volume.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Prisms$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base measures 3 ft, 4 ft, and 5 ft. The altitude is 6 ft in length. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume area of the prism.
The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.
In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 ft long by 36 ft wide by 9 ft deep. How many cubic yards of dirt were removed?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?