A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?

Q: An open box is made from a 40-cm by 50-cm piece of tin by cutting a square from each corner and…

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Q: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

A: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

Q: When comparing the volume of pyramids and prisms, what is the ratio of the volume of the pyramid to…

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Q: . A poster is to have an area of 180 in² with 1-inch margins at the bottom and sides and a 2-inch…

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Q: If an automobile can travel 110 mi on 4 gal of gasoline, how far can it travel on 6 gal of gasoline?

A: It is given that an automobile can travel 110mi on 4gal of gasoline . We have to find that how far…

Q: It is estimated that each guest at a party will eat 7/8 pounds of chocolates. How many guests can be…

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Q: The numerical value of the volume of a cube equals the numerical value of its total surface area.…

A: Given, The volume of a cube=The surface area of cube To find the length of each edge of the cube.

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: If a nickel weighs 6 grams, how many nickels are there in 6 kilograms of nickels?

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Q: A rectangular field measures 12 m long and 18 m wide. It will be equaly partitioned into small…

A: Length of rectangular field is l=12 m and width is b=18 m. Area of the rectangular field is A=lb…

Q: What is the volume of a cube if the number of cubic units in its volume is twice the number of…

A: Given: If the number of cubic units in its volume is twice the number of squares units in its total…

Q: A two-inch-long grasshopper can jump a horizontal distance of 40 inches. An athlete, who is five…

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Q: A silo consists of a cylinder surmounted by a hemisphere. If the floor is three times as expensive…

A: Let r be the radius of the hemisphere. This is also the radius of the base of the cylinder. Let h be…

Q: If the length of the radius and the height of a right circular cylinder are both doubled to form a…

A: Let the initial radius and height of the cylinder be R and H respectively.

Q: If the volume of the image of a shape is 160 and the volume of the pre-image of the shape is 20.…

A: If the volume of the image of a shape is 160 and the volume of the pre-image of the shape is 20.…

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: If a salad-oil blend is made using a 4:1 ratio, by volume, of vegetable oil to olive oil, how much…

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Q: A digital image that is 3 1/3 inches by 4 2/3 inches on a computer screen is enlarged to make print…

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Q: A mountain cabin has a single room 20 ft by 10 ft by 8 ft high. What is the total volume of air in…

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Q: A large cube is formed from the material obtained by melting three smaller cubes of 3, 2, and 1 cm…

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Q: The ratio between the curved surface area and the total surface area of a right circular cylinder is…

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Q: A large cube is formed from the material obtained by melting three smaller cubes of 3, 2 and 1 cm…

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Q: A cube of side 4 cm is cut into 1 m cubes . WHatis the ratio of the surface areas of the original…

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Q: Two cylinders are similar and their volumes are in a ratio of 5:4. If the smaller cylinder has a…

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Q: If a basketball is inflated to be eight times its original volume, how many times bigger is the…

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Q: A shape is made of 6 right triangles of equal size. Each right triangle has a base of 6 cm and a…

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Q: How many square meters needed to be seeded with grass seed?

A: Given: lengthl of rectangle is 70m, breadthb is 48m and radiusr of circle is 24m We know that areaA1…

Q: 4. The volume of the fish tank needs to be tripled. 10 in 3 in 18 in What scale factor should be…

A: Given a fish tank whose volume has to be tripled. To find the scale factor

Q: What is the total area of the original unfolded rectangle as shown if the total area of the figure…

A: To find the total area of the original unfolded rectangle as shown if the total area of the figure…

Q: A painting, including its frame, is 25 cm long and 10 cm wide. What is the area of the frame if it…

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Q: In a concrete retaining wall of 10m long, 5m high and 200mm thick. if three rectangular holes of…

A: In a concrete retaining wall of 10m long, 5m high and 200mm thick .If three rectangular holes of…

Q: The face of the right triangular prism has a height of 7 inches and a base of 10 inches. If the…

A: NOTE: Refresh your page if you can't see any equations. . here we have  h=7 b=10 L=14 for the right…

Q: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product…

A: Consider the rectangular is divided into two portions with areas x and y. So, x +y = 120…

Q: A graphic designer is asked to create a movie poster with a 162 in² photo surrounded by a 3 inch…

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Q: A new born baby has 270 bones and an adult has 206 bones. Find the ratio of bones in an adult to…

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Q: If a cube with a surface area of 24 square centimeters holds at most 1 liter, how many liters can…

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Q: If the diameter of a tennis ball is 6 centimeters, what is the approximate surface area and volume…

A: The area  of surface  is :  A = 2*pi*r  And Volume  is :-   V = 4/3 *pi*r^3  Where  r is radius  of…

Q: 4. How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to…

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Q: A rectangular prism has a length of 11 centimeters, a height of 13 centimeters, and a width of 2…

A: Volume of a rectangular prism is the product of it's base area and the height. Volume= base area ×…

Q: if a special sauce in a hamburger restaurant is made with a 1:1 ratio by volume of ketchup to…

A: Given:

Q: A rectangular prism has a length of 9 centimeters, a height of 15 centimeters, and a width of 20…

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Q: if a crumb topping is made with a ratio by weight of 3 parts brown sugar, 2 parts flour, and 1 part…

A: From given it is observed that, with 3 parts brown sugar, 2 parts flour, and 1 part butter can make…

Q: Two cubes have sides of lengths 7 cm and 6 cm. What is the ratio of their respective volumes? Their…

A: Solution ---------------  Given that  lengths of sides of two cubes 7,6 Volume of a cube = l3 Let…

Q: A multi-colored candy is sold in a ratio of 7:3:2 of blue, red, and brown candies, respectively. How…

A: Given that  Blue          Red          Brown  7 :             3 :                2

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

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Q: Two small window air conditioner units are purchased and put into opposite sides of a house. One…

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Q: An open rectangular box, 1 m long, 70 cm wide and 50 cm deep, is painted on the inside and outside.…

A: Area

Q: A welder has 15 pieces of 6ft steel angel and 18 pieces of 3 ft steel angel. What is the ratio of…

A: Ratio is the number of pieces of 6 feet angel divided by total number of pieces

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.