1) The volume of a rectangular prism is 96 cubic inches. If the height is 8, and the length is 6, what is the width of the missing side? Draw a picture and show all work.

Q: A company produces a​ standard-size U.S. flag that is 3 ft by 5 ft. The company also produces a​…

A: Given Data: The length of the longest side of the short flag is: l=5 ft The length of the shortest…

Q: A 22​-ft by 28​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the…

A: Walkway width is:-

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by…

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base has a length of…

A: To Determine: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base…

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

A:

Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

A:

Q: 2. The top of the trough with triangular ends is a horizontal rectangle 50 cm by 150 cm, and the…

A:

Q: 1. Find the volume of a prism if the base is an equilateral triangle with sides measure 5 meters and…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If the volume of the a cube is 125 cu- bic m. Find its side?

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 14.) The area of a regular decagon is 50 cm2. What is the area of a larger regular decagon with…

A: Given area of smaller regular decagon, A = 50 cm2 Let the side of smaller regular decagon be 'a' We…

Q: 1. What is the length of the edge of a cube if its volume is 27 cubic meter? 2. What is the volume…

A: Formula:  Volume of the cube = a3 Diagonal of cube =√3.a Surface area of cube =6a2 Where a- edge…

Q: 1. What is the area in sq. cm of an octagon with a side 20 in long?

A:

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: a piece of wire 72cm long is cut into two unequal parts. each part is bent to form a square if the…

A: Assume a be the length of the smaller wire and b is the length of the bigger wire. so b>a,

Q: b) A printer need to make a poster that will have a total area of 2000 cm? and will have 3 cm…

A:

Q: 7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of…

A: Note: We are entitled to solve only one question at a time. Given: The base of a prism is a right…

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

A:

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: 2. The width of a rectangular lot is 3 meters less than its length, if the area of the lot is at…

A:

Q: A circus tent is made in the shape of an octagonal prism and octagonal pyramid. If the side of the…

A:

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

A:

Q: 3. If a trapezoid has an altitude of 15 inches, an area of 105 square inches, and one of the bases 5…

A:

Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid…

A: The formula for the volume of an octagonal pyramid is one-third of the product of the area of the…

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: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

A:

Q: 1. The volume of a right prism is 234 cu.m. with an altitude of 15 m. If the base of the prism is an…

A:

Q: A rectangular pyramid has a base of 24 cm by 14 cm and height of 15 cm. What  is its volume?

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: The exterior dimensions of a freezer are 48 inches by 36 inches by 24 inches, and it is advertised…

A: Given :   The exterior dimensions of a freezer are 48 inches by 36 inches by 24 inches, and it is…

Q: if the base of a triangle is 1 cm longer than its altitude and the area of the triangle is 210 cm,…

A: The objective is to find the length of the altitude.

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: If the perimeter of a regular dodecagon (12 sides) is 99.6 cm, how long is each side?

A: By definition, a regular dodecagon is a polygon with 12 congruent sides. Then, the perimeter is…

Q: 1. What is the volume of a rectangular prism when the Length is 3, the width is 2 and the height is…

A: We can find the volume of the prism as below.

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: If the length of the base of a rectangle is increased by 20 percent and the length of the altitude…

A: Let the length of the base of the rectangle = x Given that x increases by 20% so, the new length =…

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

A: Given figure:-

Q: 2. If the edge of a cube is 1.75 m, then how many square centimeters are there in its entire…

A: Given :  Edge of Cube =a=1.75 m To find : surface area of cube in square centimeters

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A: Given:- An architect is designing a composite window by attaching a semicircular window on top of a…

Q: 9. A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square meters. What…

A: Given : A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square…

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A:

Q: 19 The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 sqr. in. What are…

A: Find the length and width

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

A: Base length of pyramid:= 4.5 in Width of pyramid:= 7 in Height of pyramid:= 16 in   Now:          If…

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

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: 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: For a rectangle with area 225 to have the smallest perimeter, what dimensions should it have? (Enter…

A: For the minimum perimeter of the rectangle you just need to equate the derivative of perimeter…

Q: The volume of a 12-foot-tall cone structure is 48 cubic feet. What is the circumference of the…

A:

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A: The dimensions of the wall are 149 ft by 74 ft.

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.