In the regular pentagonal pyramid, each lateral edge measures 11 in., and each base edge measures 7 in. The apothem of the base measures 4.8 in.   Find the lateral area (in square inches) of the pyramid. (Round your answer to two decimal places.)   Find the total area (in square inches) of the pyramid. (Round your answer to two decimal places.)

Q: Find the area of a regular pentagon with an apothem of 5 inches. Round to the nearest tenth

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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: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: To find: The changes in the volume after changing base length and width. Given: The rectangular…

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

A: Given the length of the base edge of a pentagon measures is 6 inches , apothem of base measures 4.1…

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: In the accompanying regular pentagonal prism, suppose that each base edge measures 8 in. and that…

A: Given  base edge = 8 in apothem = 5.5 in  height = 10 in

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

A: Given

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

A:

Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…

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Q: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

A: Topic - area of base of regular square pyramid Option B 128 sq.in

Q: The monument of Cestius in Rome, which is a square pyramid 121.5 ft. high with a base edge measuring…

A: given base=b=98.4 and heighy=h=121.5

Q: Find the area of a regular pentagon with an apothem length of 6cm please show work as well

A:

Q: Given a square pyramid with the base edge of 10 m. and slant height of 6 m. Find the measure of the…

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

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Q: A square based pyramid has a surface area of 111.6 in2.  The sides of the base of the pyramid…

A: Surface area of square based pyramid is given by:A=b2+2blwhere b=length of base sidel=slant height

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: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: The lateral area of the square pyramid is given by the formula, A=12×l×P where l is the slant height…

Q: In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism.…

A: The amount of dirt removed is equal to the volume of hole. The hole is in the form of a right…

Q: The pyramid of Khufu is a regular square pyramid with a base edge of approximately 776 feet and an…

A: Given data: The given base length is b=776 feet. The given height is h=481 feet. The expression for…

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: The problem concerns calculation of the surface area over the top of the pyramid that is going to be…

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: Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of (round to the…

A: In the question it is asked to calculate the area (A) of pentagon and side length (L) using the…

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

A:

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…

A:

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: Suppose that each of the bases of the hexagonal prism below has an area of 14 cm2 and that each…

A: Mensuration Question

Q: Two square base pyramids measures 6 cm whereas the of the second pyramid mea Calculate the total…

A: Given data is ,      Side of first pyramid base x=6cm Side of second pyramid base y=4cm Let the…

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

A:

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

A:

Q: In excavating for a new house, the Philpott Brothers dig a hole in the shape of a right rectangular…

A: Given that the hole of right triangular prism,   The volume of the right triangular prism with…

Q: Given a sphere with a diameter of 10 cm, find its volume to the nearest whole number.

A:

Q: Given a square pyramid with a height of 24 ft and a volume of 4,512 cubic feet, find the length of…

A: Volume of square pyramid = 13a2h, where a = side length of square base h = height of the pyramid…

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: in a frustum of a right circular cone, the diameter of the lower base is 24 ft, while the diameter…

A: Radius of the upper and lower base of frustum is 242=12 ft and 142=7 ft respectively.

Q: if the slant height of the frustum is 13 ft, find the total area of the frustum. A. 1,382 sq.ft B.…

A: The diameter of the lower base is d1=24ft.  The diameter of the upper base is d2=14ft. The relation…

Q: Find  a) Lateral area L b) Total area A c) Volume V

A:

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: A prism with a hexagonal base whose sides measure 4 mm, apothem measures 2.83 mm, and height…

A:

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given figure:-

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

A:

Q: Find the volume of the square pyramid shown. Round to the nearest tenth if necessary. 15 cm 15 cm 15…

A: We are given a square pyramid with measures  Base edge(a)= 15 cm Height(h)= 15 cm we need to find…

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given The church steeple in the shape of a  regular square pyramid ,the each lateral edge measure 15…

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: 3ft 5 ft 73 ft

A: Given; Height=73 ft , Base=5 ft , apothem=3ft Perimeter=5*5=25ft

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: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given that, The base length of a square pyramid = 14 ft. The lateral or side length of the square…

Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…