In excavating for a new house, the Philpott Brothers dig 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?

Q: Given the similar hexagon-based prisms pictured below, if prism 2 has a surface area of 256 cm…

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

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

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

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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: 3. Find the volume of the rectangular pyramid * 18 in 19in 12 in

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Q: How many cubic inches of space are inside the square-based pyramid below? 12 in 13 in 10 in type…

A: Use the formula for the square based pyramid.

Q: The area of the regular hexagon is 10.4 in.2. What is the measure of the apothem, rounded to the…

A: Directly use the formula for the area of hexagon.

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

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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 length of one base of a trapezoid with another base of length 4 cm, a height of 2 cm,…

A: Area of trapezoid=12(a+b)*height here A=6 cm2a=4 cmh=2 cm

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: Consider the oblique regular pentagonal prism shown. Each side of the base m 14 cm 19.6 cm 14 cm -…

A: Please refer to the image below

Q: Two identical rectangular prisms are shown below. The dimensions are shown in the figure. 9cm 9cm 20…

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Q: A cone-shaped roof has a diameter of 12 ft and a height of 8ft. If roofing material comes in 120…

A: Given: Diameter of cone is, d = 12 ft. Thus, the radius is, r = d/2 = 6 ft. The height of the roof…

Q: The area of a trapezoid is 42 in^2. What is the new area of the trapezoid if the height were tripled…

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Q: In a regular polygon with each side of length 6.5 cm, the perimeter is 130 cm. How many sides does…

A: A regular polynomial is a polynomial in which all the angles are equal and also all the sides are…

Q: What is the volume of a rectangular pyramid with base side length of 4 cm, base side width of 9 cm,…

A: Given that        A rectangular pyramid with base side length of 4 cm , base side width of 9 cm and…

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

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Q: A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can…

A: Surface Area

Q: For a regular heptagon, the area is 90.83 mm and the apothem is 5.19 mm. Find the side length, in…

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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: If all sides of a square are 15 cm, What is the perimeter of the square?

A: If all sides of a square are 15 cm, we have to find the perimeter of the square

Q: If the area of a trapezoid is 1,299 units?, and the lengths of the two bases are 16 & 22, what is…

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Q: What is the surface area of a square pyramid with base side length of 15 cm and slant height of 5…

A: Given square pyramid  base length =15 cm Slant height = 5 cm

Q: In remodeling a house, an architect finds that by adding the same amount to each dimension of a 12…

A: Hey there.Since you have sent more than one question therefore according to our guidelines we cannot…

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

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

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

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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: A planter in the shape of a rectangular prism is 24 inches by 4 inches by 5 inches. How much dirt is…

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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…

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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 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: What is the surface area of this rectangular pyramid? 13 in 10 in 10 in square inches

A: 1) The given figure is surrounded by two squares (each square with the same dimensions) and four…

Q: The sphere and cone have equal volumes. 8 in. 4 in. What is the height of the cone? O 8 inches O 16…

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

A:

Q: What is the area of a regular decagon with an apothem of 3.8 cm and a side length of 2.5 cm? O 47.5…

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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: 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: If the room measured 15 ft by 20 ft by 10 ft, approximately how many basketballs did the students…

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Q: What is the surface area of this rectangular pyramid? 9 in 9 in 9 in square inches Submit

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Q: What is the volume of a square pyramid with base side length of 4 cm and a height of 18 cm? O 144 cm…

A: In a square pyramid the base side length s = 4 cm…