A cardboard box with a square base and an open top is to be constructed from a square of cardboard 10 cm on a side by cutting out four squares at the corners and folding up the sides. What should the dimensions of the box be in order to make the enclosed volume as large as possible?

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: Given Information -  Squares with sides of length x are cut out of each corner of a rectangular…

Q: An open box is to be made out of a 10-inch by 20-inch piece of cardboard by cutting out squares of…

A: Draw the diagram for the given problem for the given conditions and then find the volume

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 600…

A: This question is related to mensuration.

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 600…

A:

Q: A box with a square base with side length b and height h and with an open top must have a volume of…

A:

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

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: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

A:

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: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x…

A: 1/

Q: A shipping company handles rectangular boxes provided the sum of the length, width, and height of…

A: Let the dims be x, y and z then volume V=xyz           -----------(1) and the restriction we have…

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

A:

Q: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long are cut…

A: Given: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long…

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A: Given problem is : Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular…

Q: 7. If 300 cm³ of material is available to make a box with a square base and an open top, find the…

A: Assume side of the square box is x and height is y. Hence, volume of the box is given by…

Q: A box with no lid is being made out of flat rectangular piece of cardboard with dimensions 2 in by 5…

A: Let squares of side length x inches have to be cut from all the corners.  So the length of the box…

Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…

A: Given data is : The lengths of the legs of a right triangle are 4 cm and 6 cm To find the greatest…

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 pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

A:

Q: A closed box with square base and vertical sides is to be made from 150 square feet of cardboard.…

A:

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

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: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

A: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

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: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 8…

A:

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: we know that volume of semi sphereV1, volume of right circular coneV2 and volume of cylinder V3 is…

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: If 8, 664 cm² of material is available to make a box with a square base (and a closed top), find the…

A: Given data- Surface area of box=8,664 cm2. we have to make a box with a square base and a closed…

Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

A:

Q: A metallic sheet is of rectangular shape with dimensions 1m x 2m. From each of its corners, a square…

A: Given height = 8 cm So, given that each one of its corners a square of side 8 cm is cut off  now,…

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: if an open box has a square base and a volume of 256 in^3 and is constructed from a tin sheet.  Find…

A: Given

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: A box with no top is to be constructed from a piece of cardboard whose length measures 10in. more…

A:

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

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm…

A:

Q: $24 is available to make a rectangular storage container with a square base and open top. If the…

A: We use second derivative test to find out dimensions of container where volume is largest

Q: A box with a square base and with height f(x) is to be constructed so that it has a volume of 1000…

A: A box with a square base.  Let the side of the base be x cm. x>0 If the height of the box is…

Q: An open top box is made by cutting squares from the corners of a piece of tin and folding up the…

A:

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 box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

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.

Q: Suppose you ask a jeweller to form a gold in the shape of a sphere whose volume is * cm³. But you…

A: Intial volume of gold = 4π/3.

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x…

A: The dimensions of the box is 4cm×4cm. Let each side of the square cut off from each corner be x cm.…

Q: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .