An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the corners of a sheet of metal 25 cm by 32 cm, and folding up the metal to form sides. The capacity of the box must be 1575 cm³. What is the side length of the squares removed?

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: The length of the initial piece of cardboard = 4 inches. The width of the initial piece of cardboard…

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4…

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

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

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

A:

Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in  Length = (12-2x) in…

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 13in. more…

A: Let x inches be the width of the cardboard, then the length is (x + 13) inches, because length is 13…

Q: An open box with a volume of 128 cm³ can be made by cutting a square of the same size from each…

A:

Q: An open box is to be made from a 16 cm by 30 cm piece of cardboard by cutting out squares of equal…

A: according to our guideline we are supposed to answer only the first question if we want any…

Q: A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut…

A:

Q: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: Let l is length of the box, w is a width of the box and h is the height of the box.…

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: A rectangular piece of metal is 30 in longer than it

A:

Q: 2. Find the dimensions of a rectangle with an area of 225 square cm, whose perimeter is as small as…

A:

Q: If the perimeter of a rectangle is 28 cm and the area is 45 square cm, then what are the dimensions…

A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: A poster is to have an area of 900 cm2 with 4-cm margins at all four sides.  What dimensions of the…

A: Let the length of poster be x cm Let the width of poster be y cm So, area of poster =x×y

Q: A rectangle piece of Metal has a length that is 10 inch longer than its width. Squares with sides 3…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

A: Given information: A box with an open top is to be constructed from a square piece of cardboard 2m…

Q: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

A:

Q: A rectangular box made of recycled carton papers has a capacity of 2880 cu. cm. and surface area of…

A:

Q: A page is to contain 54 sq cm. of printed material. If the margins are lcm at the top and bottom and…

A:

Q: A cardboard box with a square base and an open top is to be constructed from a square of cardboard…

A: The schematic representation is shown below. Since the box is open at the top, the volume of the…

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: An open box is made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

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

A: Solution: Let x be the width of the rectangle and y the height. we can form the equation  5x +…

Q: A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut…

A: Given: Volume of box = 374

Q: A piece of cardboard 4 ft by 4 ft will be made into an open topped box by cutting squares out of…

A: Summary... Cut should be of size  2/3 ft

Q: If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is…

A:

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

A:

Q: The U.S Post Office will accept a box for shipping only if the sum of the length and girth (distance…

A:

Q: 4. The length of a rectangular box is 3 ft more than its width and the height is 5 ft more than its…

A: Consider a rectangular box with length l, width w and height h. Then the volume of this rectangular…

Q: A rectangula plot of land is to be seeded with grass. If the plot is 16 m by 12 m and a 1kg bag of…

A:

Q: The front face of a tent is triangular and the height of the triangle is two-thirds of the base. The…

A: Let us assume that the base of the front face= x So the height = 2x3 Length = x+3  Given volume =…

Q: If 4,800 cm of material is available to make a box with a square base and an open top, find the…

A: Given 4800 cm^2 of material is available to make a box with a square base and an open top

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

A:

Q: From a square piece of metal, whose side is 27 cm long, an open box with square base is to be made.…

A:

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 10,800 cm2 of material is available to make a box with a square base and an open-top, find the…

A: Answer is mentioned below

Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The area of a square is 81 cm² If the same amount is added to one dimension and removed from the…

A: The area, A of a square is calculated using the formula, A=a2 , where, a is the side length.

Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

A: Given: length of the box=l=2+width=2+wwidth=w=?   and height=h=6Also…

Q: 5. The height of the cube toy box of Terence is 4x? - 3y?, If the volume of the cube is 64x* -27y,…

A: Given:- The height of the cube toy box of Terence is 4x2 -3y². If the volume of the cube is 64x6…

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: A rectangle piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each…

A: Consider x be the width of the rectangle. So, 2x is the length of the rectangle.Corner cut: A 4 cm…

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

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

A: