A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be covered corresponds to the lateral area of the square pyramid. If each lateral edge measures 17 ft and each base edge measures 16 ft, how many square feet of shingles need to be replaced? 17 ft 16 ft 16 ft

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: The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is 6 ft. What…

A: Here given  The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is…

Q: A pyramidal tent with a square floor is made from canvas which weighs 1 lb per square yard. If the…

A: It is given that the tent is a square pyramid and the weight of the canvas that is used to make the…

Q: In the pyramid and prism below, the height is the same and the sides of the pentagon bases are the…

A: Given,  In the pyramid and prism  Height is same both have same pentagon base with same side…

Q: A gazebo is built in the shape of a regular octagon. Each side is 8ft long and the enclosed area is…

A: Given,          A gazebo is built in the shape of regular octagon . Each side is 8 ft long…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

A:

Q: The base of the rectangular pyramid shown above has one side that measures 5 inches, one side that…

A: To determine the area of the vertical cross-section of the pyramid that is parallel to longer side…

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: In the regular pentagonal pyramid, each base edge measures 9.2 cm and the apothem of the base…

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: 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: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: A right square pyramid has a slant height of 5 feet, and the length of a side of the base is 6 feet.…

A: Here we use Pythagoras theorem given as (Hypotenuse)2 = (Perpendicular)2 + (Base)2

Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: The given data is: Each side of the octagonal floor has a length of 10 ft Apothem measures a=12 ft…

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

A:

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

A:

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: A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

A:

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: What is the volume, in cubic yards, of a pyramid that has a height of 10 yards and a square base…

A: Solution volume of pyramid = square base x height/3

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: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: Given that, each side of octagonal floor is 10 ft, length of the apothem is 12 ft and the lateral…

Q: What is the volume of a square-based pyramid with a base side of 4 cm and a height of 10 cm?

A:

Q: From a 15-cm by 15-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A:

Q: A regular square pyramid has a height of 8m. If the slant height makes an angle at 45 degrees with…

A:

Q: Find the surface area and volume of a triangular pyramid that has a slant height of 15, a height of…

A: We have to find area and volume

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: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

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

A: solution

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

A:

Q: If there are 1, cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

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: Find the volume of a rectangular pyramid with a length of 8 ft, a width of 5 ft, and a helght of 15…

A: A rectangular pyramid has length 8 ft, width 5 ft and height 15 ft.

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: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The volume of a regular hexagonal pyramid with altitude h and side length b is defined as…

Q: What is the surface area of a rectangular pyramid with base side length of 4 cm, base side width of…

A: Given Data: The length of the rectangular base is: l=4 cm The width of the rectangular base is: w=9…

Q: 4. Find the length of one side of the base of a square pyramid if the height is 12m and the volume…

A:

Q: A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are 8…

A: Given, L=1042=52, x=8 if its raised from midpoint then horigontal distance: D=52-4D=48 now find…

Q: 24.) To the nearest whole number, what is the surface area of a square pyramid with each side of the…

A: The base is a square with sides 30 yards  So area of the base= 30*30 = 900 square yards

Q: A triangular prism has base edges 4cm, 5cm, and 6cm long. Its lateral area is 300 cm2. What is the…

A:

Q: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

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: 3.) Find the surface area and volume of a square pyramid with side lengths of 24 inches, and a slant…

A:

Q: 1. What is the volume of a triangular pyramid with a length of 15 ft, a width of 7 ft, and a height…

A: We can find the volume using the formula as below

Q: A regular square pyramid has a base whose sides are of length 10 cm each. The altitude of the…

A: Given: The length of sides of base of a regular square pyramid is 10cm. And length of altitude of…

Q: 19) Find the volume of a rectangular pyramid which has length equal to half its width, a base area…

A: To find the volume of a rectangular pyramid which has length equal to half its width, a base area of…

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: what is the volume of a square pyramid that is 9 cm tall and has a base length of 6 cm

A: