If there are 1, cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of an inverted pyramid 12 ft. deep and 8 ft square at the top?

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: Draw and solve. A concrete octagonal pier of height 15 ft. is to be resurfaced. If each of the base…

A: Given that:  A concrete octagonal pier of height 15 ft and base edge = 1.5 ft

Q: If the area of a trapezoid is 164 ft? and the bases are 20 ft and 12.8 ft, what is the height of the…

A: We know the area of trapezium is 12sum of parallel sides ×(Distance between them)

Q: If the volume of the square pyramid below is 384 and the sides (x) of the square base are each 14,…

A:

Q: As part of a larger piece of work, an artist wishes to cast a solid plaster obelisk in the shape of…

A:

Q: The height of a cup in the shape of a square pyramid is one half the length of each side. The volume…

A:

Q: 3.) A 50ft by 40ft one-story house sits in lot that is 80 ft by 60ft. If the edge of the house to…

A: (3) Given area of house 50 ft by 40 ft. Area of the lot 80 ft by 60 ft. If the edge of the house to…

Q: 12. How many box-shaped scoops 2 in x 2 in x 3 in ar. needed to fill an inverted pyramid shape that…

A:

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: If the prisms shown are similar, what is the ratio of the volume of the larger prism to the smaller…

A: If the prism are similar then, the ratio of the volumes will be the same as the cube of the ratios…

Q: Whatis the volume of the cubic inch of a triangular prism variables are 5 in 3 in 6 in and 3in and…

A: The volume of a triangular prism is: Volume=(cross sectional area of prism)×length The cross-section…

Q: 6. To the nearest tenth of square inch, find the area of the regular pentagon whose apothem measures…

A:

Q: Two regular octagons have perimeters 16 cm and32 cm, respectively. What is the ratio of their areas?

A: Given the perimeters of the reegular octagons are 16 cm and 32 cm. Thus for the first regular…

Q: What is the area of a regular pentagon with an apothem of 25.1mm and a side length of 36.4mm?

A: Given that a regular Pentagon with an apothem of 25.1mm and side length of 36.4mm Here we have to…

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

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: 15. A pyramid with a square base and altitude 20 ft is built. If the square is 8 ft on a side, what…

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

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: 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: 36.) What is the volume of an oblique square pyramid with base edges of 25 inches and a height of 24…

A:

Q: Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3 cm.

A:

Q: A punch bowl is in the shape of a hemisphere (half of a sphere) with a radius of 9 inches. The cup…

A: Given information:A punch bowl in in the shape of a hemisphere (half of a sphere) with the radius of…

Q: A building in the shape of a cube has a width of 63 ft., a length of 63 ft., and a height of 63 ft.…

A: Given:

Q: 15. Find the length of the second base of a trapezoid with one base measuring 29 ft, a height of 9…

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: If a parabolic reflector of an automobile head light is 12 in. in diameter and 4 in. deep, what is…

A: To determine the area of the reflector of the headlight, lets consider the vertical cross section of…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: The question is to find the proportions of the silo such that the total cost for making the silo is…

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: If a rectangular garden is 35 ft. by 45 ft., how many feet of fence are needed to enclose it?

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: 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: A trapezoid has an area of 96 cm?. If the altitude has a length of 8 cm and one base has a length of…

A: Trapezoid: Assume that the length of the altitude between the two bases be h=8 cm, Length of the one…

Q: An airplane wing casts a shadow on the ramp that is 12 ft. wide at one end, 7 ft. wide at the other…

A:

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: 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: 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 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: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: the shape of silo is as shown    The total area if given by area of the circular base + area of…

Q: Suppose an oil pan has the rectangular dimensions 14 in. by 16 in. by 3 in. Find its volume (in…

A: From the given information, it is observed that the dimension of oil pan is 14 in. × 16 in. × 3 in.…

Q: If a cylindrical water tank holds 1,000 ft of water and has a height of 10 feet, what is the…

A: Explanation of the answer is as follows

Q: 1. Find the volume of a regular octahedron if one edge is measured as 10 cm.

A: