How many small cubes with edge of 20 cm each can be just accomodated in a cubical box of 2 m edge

Q: If the farmer has 162 feet of fencing, what are the dimensions of the region which enclose the…

A: Let dimesnion of the region is x and ysince, the farmer has 162 feet of fencingtherefore,…

Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

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Q: piece of wire of length 60 cm is cut, and the resulting two pieces are formed to make a circle and a…

A: Let the length of square is x. Then each side of the square will be x4. The circumference of the…

Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

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Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: Given:

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Consider x to be the length and y to be the width of the rectangular region as shown below.

Q: An open top box will be prepared by removing squares from each corner of the piece of cardboard with…

A: Let x be the side of square Then remaining dimensions of cuboid for volume is  We known,  Length =…

Q: Determine the volume (in cm3) of a right prism whose altitude is 4 cm and whose base is a right…

A: The volume of right prism whose base is right angle triangle= Area of base traingle × Altitude of…

Q: A rectangle is inscribed in a right triangle. If the triangle has sides of length 5, 12, and 13,…

A: Let x and y be the length and breadth of the rectangle inscribed in the triangle. Let us take the…

Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

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Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

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Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: A cube has edges that are each twice as long as a second cube

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side…

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: How many spherical balls can be made out off a solid cube of lead whose edge measures 66 cm and each…

A: Volume of cube is equal to volume of lead balls.

Q: An open-topped box is constructed from a rectangula piece piece of cardboard that is twice as long…

A: An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it…

Q: What is the largest possible area such a region can have if its perimeter is to be 20 units?

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Q: Find the area of the largest rectangle that can be inscribed ina right triangle with legs of lengths…

A: Let x and y be the length and width of the rectangle that is inscribed in a right triangle. The…

Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Modelling the problem: Let the three dimension be x, x and y .Since base is a square base.   also…

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: How many diagonals are there in a polygon of 10 sides?

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Q: What is the length of the edge of a cube if itsvolume is doubled by an increase of 6 centimeters in…

A: As the cubes have all the sides equal. So if the side of a cube is a, then the volume of a cube is…

Q: What are all the possible dimentions of a right rectangular prism with a volume of 108 cubic inches?

A: Given the volume of a rectangular prism is 108 cubic inches.

Q: Compute the area of the polygon with vertices at (6,1) (3,-10) (-3,-5) and (-2,0)

A: To Compute the area of the polygon with vertices at (6,1) (3,-10) (-3,-5) and (-2,0)

Q: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as…

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Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from…

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: Suppose there are two rectangular pools: one is 30 feet wide, 60 feet long and 5 feet deep…

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Q: 2. Use the fact that 12 oz is approximately 6.897 in to find the dimensions of the 12 oz Coke can…

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Q: How many cells whose diameter is 50 μm could fit under a 1 cm x cm coverslip?

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Q: Find the area of the largest rectangle that can be inscribed in asemicircle of radius r

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Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

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Q: If a cube has a volume of 64. What is it’s edge length

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Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut…

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Q: How many cells whose diameter is 50 µm could fit under a 1 cm x 1 cm coverslip?

A:

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given the figure:

Q: A cube of side 5 cm is painted on all its faces . If it is sliced into 1 cubic centimetres cubes ,…

A: Given that a cube of side 5 cm is painted on all its sides. If a cube is sliced into cube of 1 cm3 .…

Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

A: Given information: The length of the square is 33 inches that has been transformed to cuboidal box…

Q: A farmer with 750 ft of fencing wants to enclose a rectangular region and then divide it into four…

A: Solve for the lager rectangle dimension and area of large rectangle

Q: If there are 100 images with image size of 2MB each, what is the total size of these images?

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Q: A 10ft board is to be cut into three pieces, two equal-length ones and the third 3 in. Shorter than…

A: Calculation:It is given that the length of a board is 10ft which has to be cut into three…

Q: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

Q: Find the area (in cm^2) of the largest rectangle that can be inscribed in a right triangle with legs…

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Q: Find the dimensions of a rectangle of area 324 ft2 that has the smallest possible perimeter.…

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Q: 3. If find the largest possible volume for the box. 1200cm of material is available to make a box…

A: We can find the answer as below.