An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20 cm by 30 cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008 cm -30cm- -30-2x- 4. 20-2x 20 cm height=x width= 20-2x length = 30- 2x

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

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A: Assume that the dimension of sheet metal = x feet

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A: Use formula of rectangle to solve this

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A: For finding the required answer first construct the magic square with order 4.…

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A: Area of rectangle= length×bredth

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A: Given: Perimeter of rectangle = 100.

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A: Form the equation for the volume then maximize using first derivative.

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A: We are given :Volume of a swimming pool V(x)=2x3+5x2-28x-15 Now Length be l(x) ,breadth be b(x) and…

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A: Find the solution below:

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Q: Find the dimensions of a rectangle of area 256 ft that has the smallest possible perimeter. shorter…

A: Area= length * width Perimeter=2(length + width)

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A: Here a well explained figure corresponding to our problem is given. We can see that pool and path…

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Q: A rectangle whose width is less than its length by 3 and its area is 4, then its length is

A: Please refer the attached image for complete solution.

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A: Let base of the rectangle = 2x and height = y

Q: Find the dimensions of the rectangle of largest area that canbe inscribed in an equilateral triangle…

A: Solution:- We have to find the  dimensions of the rectangle of largest area that canbe inscribed in…

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A: Given that:- 1.  length of each box in top row is of 2cm and similarly, in last row length of each…

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If…

Q: rectangular piece of cardboard, whose area is 264 square centimeters, Is made into an open box by…

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Q: A gardener with 600 meters of available fencing wishes to enclose a rectangular field and then…

A: Given problem:- A gardener with 600 meters of available fencing wishes to enclose a rectangular…

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