An architect uses a 3-D printer to create the scale model for a house that will be built.  In the model, the house is 52cm tall.  The house will be 624 cm tall. The volume of the model is 0.8125 cubic meters.  What is the volume of the house?

Q: A rectangular garden is 2 ft longer than it is wide. Its area is 675 ft2. What are its dimensions?…

A: Let width of garden = x ft. Therefore length of garden = x+2 ft. And area = length × width  675 = x…

Q: At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is…

A: Given each mold is a rectangular prism whose height is 3 inches greater than the length of each side…

Q: A picture measuring 50 centimeters by 30 centimeters is surrounded by a frame of uniform width. If…

A:

Q: A food packaging company is going to sell ice cream in paper cones with a diameter of 3 inches and a…

A: given,       A food packaging company is going to sell ice cream in paper cones with a diameter of 3…

Q: The area of the rectangular piece of cardboard shown below is 192 square inches. The cardboard is…

A: Given that:Area of square box, A=192 in2Dimension of corner square=3 inVolume of box, V=180 in3

Q: The official diameter of a tennis ball is 2.575 inches. They are sold in cylinder-shaped canister…

A: Question is related to mensuration.

Q: You are using a moving truck with a storage area that is 8 feet tall, 20 feet long, and 12 feet…

A: Volume of material that can be move into the truck is equal to volume of the truck.

Q: A rectangular room is 22 meters longer than it is wide, and its perimeter is 2020 meters. Find the…

A: Please refer the attached image for complete solution. THANKYOU.

Q: The top of a rectangular box has an area of 108 cm2. The sides have areas of 84 cm2 and 63 cm2.…

A: Let, Length of box=L Width of box=L Height of box=L   Given,Area of top of a rectangular box =l*b…

Q: A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is…

A: Volume can be determined by the following formula :  Volume = l x b x h  Given : l = 8 feet , b = 6…

Q: Your boss asks you to package toy blocks into a box so he can deliver them to the store to sell.…

A: Divide the volume of a toy to the total volume of the box.

Q: A rectangular prism has a base area of 380 square feet. the volume of the prism is 4180 cubic feet.…

A: Step (I)Given:base area of prism=380 squarefeetvolume of prism=4180 cubic feetfind height of the…

Q: A professional wallpaper hanger can wallpaper 80 ft in 15 minutes. She will be papering four walls…

A: Time taken by the hanger to hang wallpaper in 80 ft2 is 15 minutes.

Q: The preceding figure is composed of 5 equal-sized squares. If the perimeter of the figure is 96…

A: what is the area of the figure, in square inches?

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: find the explanation below

Q: What is the maximum capacity of a dumpster that is 8 meters long, 5 meters wide, and 4 meters high?

A: In the given question the maximum capacity is asked of a dumpster of which dimensions are as follows…

Q: A rectangular sandpit has a perimeter of 13.8 meters and the length is 2.5 meters longer than the…

A:

Q: A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base…

A: The volume of a pyramid is calculated using the formula, V=13×Area of the base×Height .

Q: rectangular field measures 72 meters by 162 meters. What will it cost to cover the field with…

A: Given  The length of the rectangular field = 72 m and breadth of the rectangular field = 162 m then…

Q: The height of the cylinder below is 4.5 centimeters and the volume is 40.57 cubic centimeters. What…

A: Volume of cylinder V=40.5π cm3, height h=4.5 cm Let radius of cylinder be r, diameter d=2r Volume of…

Q: A homeowner estimates that she has 34,850 ft squared of lawn. Convert that area of lawn into acers

A: One acre is equal to 43,560 square feet. A homeowner estimates that she has 34,850 feet squared of…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3, is 16 cubic centimeters. True or…

A: We will solve the following.

Q: When the height of the metal in the mold is 11 centimeters , the volume of metal in the mold will be…

A: Consider:

Q: In Japan, farmers have created watermelons in the shape of rectangular prisms. The volume of a…

A:

Q: A photograph has a perimeter of 32 inches. Its area is 60 square inches. What are the dimensions of…

A:

Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

A:

Q: A gallon of latex paint can cover 500 square feet. Find how many gallon containers of paint should…

A: In first step determine the total area to be painted.

Q: The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6…

A:

Q: How does the volume of a rectangular prism change if its width is multiplied by 4

A:

Q: Say you would like to design an aluminum container that will hold 32 ounces of water (1 ounce is…

A:

Q: Maria can weed 1000 m2 of cogonal farm surface in 40 hours, while her brother, Bryant, can do the…

A:

Q: Say you would like to design an aluminum container that will hold 32 ounces of water (1 ounce is…

A:

Q: When an urn is full of water it has a mass of 2900 grams. When the urn is half full of water it has…

A: Given Data: The total mass when the urn is full of water is: m1=2900 g The total mass when the urn…

Q: The volume of the ice cream cone in the diagram is 12n cubic centimeters. 9 centimeters If the…

A: we know that the volume of the cone is =1/3πr^2h .we use this formula to solve the question see 2nd…

Q: A rectangular pyramid has a base that is 16 inches long and 8 inches wide. The Volume of the pyramid…

A: Here we given Length =16 inches Width = 8inches Volume=640 cubic inches

Q: Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. The cones are similar,…

A: SOLUTION-

Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: Top measure of the container is x by 3x.  Let h be the height of the container. So, the volume of…

Q: A rectangular prism has a length of 7 inches and a width of 8 inches. The lateral area is 270 square…

A:

Q: LaDon purchased some cylindrical containers with a diameter of 4 inches and height of 8 inches. If…

A: We know that the volume of the cylinder V=πr2h where r is the radius and h is the height.

Q: Mr. Trombley says that half a sphere stacked on top of a cone roughly models an ice Cream cone. Find…

A:

Q: A 10 gm vial has 10ml powered volume and 90ml diluent volume. Find the final strength of this drug…

A: Total volume of solution = 10 ml + 90 ml = 100 ml Strength of the drug in the solution = 10 gm

Q: The surface area of a triangular prism is 78 square inches. What is the surface area of a similar…

A: Given that  The surface area of a triangular prism is 78 square inches  To find the surface area of…

Q: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight…

A:

Q: The diagonal of a cube is 2 /3m. What is the volume of the cube?

A: Given:- The diagonal of a cube is 23m. To find:- Volume of the cube

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular​ , with…

A: The problem can be pictorially depicted as below. The perimeter available is 2x+y.According to given…

Q: An aquarium curator wants to expand his facility by constructing a new aquarium. The old aquarlum is…

A:

Q: Maria can weed 1000 m2 of cogonal farm surface in 40 hours, while her brother, Bryant, can do the…

A: Let x represents the time that they are work together, the mathematical expression for the time is…

Q: ft

A:

Q: A rectangular canvas picture measures uniform width of the frame. nches by 6 inches. The canvas is…

A: Given, length of canvas,l = 12 inch.             breadth of canvas,b = 6 inch. After framing it with…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.