Each side of the base of a right octagonal prism is 7 in. long. The altitude of the prism measures 12 in. Find the lateral area.

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: Find the BASE AREA of the PYRAMID with a volume of 126 fi° and a height of 18 ft.

A:

Q: Find the volume of the rectangular pyramid given its length = 4 cm, width = 5 cm, and height of 8…

A: Given :rectangular pyramid given its length = 4 cmwidth = 5 cm, and height of 8 cm

Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

A:

Q: Find the volume of the rectangular pyramid given its length = 8 cm, width = 7 cm, and height of 6…

A: Volume

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

A: A regular square pyramid is shown below. From above figure, the dimension of edge of base is x. The…

Q: Find the lateral area of the square pyramid. PC 8 in. 4 in.

A:

Q: If the diameter of a sphere is 14 cm, then what is the curved surface area (in cm?) of the sphere?

A:

Q: Find the surface area and volume of a square pyramid with side lengths of 24 in. and slant height of…

A:

Q: A kite formed with two perpendicular sticks of lengths 11 inches and 12 inches, respectively, has an…

A:

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

A:

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: 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 right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find 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 bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm…

A:

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: The length of the latus rectum is called __________ the diameter.

A: The line segment that passes through the focus and is parallel to the directrix is called the latus…

Q: Three pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?

A: Consider the figure with three circle of radius r=4 in. stacked together. Find the height of the…

Q: One part of a quartz crystal is a hexagonal prism with a right section of 1.29 sq. in., an edge of…

A: Formula Used: Volume of hexagonal prism = altitude × Area of base Volume of hexagonal prism = Area…

Q: Find the lateral and total surface area of each pyramid. Round to the nea 1 15 ft 10 ft

A: It is given that ; The length of the base = 10 ft The slant height = 15 ft We have to find the…

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: Find the surface area of the regular pyramid. 6 cm 4 cm Ocm?

A:

Q: Find the surface area and volume of a square pyramid with side lengths of 24 in and slant hight of…

A: We will find the surface area and volume of the square pyramid in the following step.

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: A triangular prism has base edges 2 cm, 3 cm, and 4 cm long. Its lateral area is 162 cm2. What is…

A: Let a, b, and c be the lengths of the sides of the triangle and "h" be the height of the prism.…

Q: The base area of a square based prism is 25 ft.² one of the lateral side faces of the prism is 30…

A: Given query is to find the total surface area of the prism.

Q: Find the lateral area of the square pyramid shown, to the nearest whole number. 38 yd 42 yd Not…

A: Area of square pyramid is given by formula below

Q: Find the lateral area of this square based pyramid. 10ft 10分 [? ]ft?

A:

Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

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: 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: Find the lateral area of the pyramid to the nearest whole number. 4 in. -3 in. 23 in.

A: From the given figure  In △AED, FE=ED=base=23in First we  have to find height l.   In △ABC Use…

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: Given the circumference of the base which is 67 ft. and its altitude of 10 ft., what is the volume…

A: The volume of a cone s calculated using the formula: V=13πr2h, where r is the radius of the base and…

Q: Given an equilateral triangular prism with base edge 13 cm and height of 3 cm. Find the measure of…

A:

Q: Find the surface area of a square pyramid with side length 5 ft and slant height 6 ft. 6 t 5 ft 5 ft

A: Given: Base side length (a)= 5 ft   and slant height (h)= 6 ftsurface area of the square pyramid =…

Q: The right triangular flag in a beach resort have legs equal to 20ft and 17 ft. How long must the…

A: Given:           The right triangular flag in a beach resort have legs equal to 20 ft and 17 ft.…

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

A: Given figure:-

Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

A:

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

A: Consider the radius of a right circular cone = r So slant height l=2r Given that total area of the…

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: A cone with diameter 8 in and a height of 8 in.

A: Volume of the Cone = 13πR2H

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: 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: 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…