If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each corner and bending up the resulting flaps, determine the dimension of the largest box that can be made.

Q: 1. Find the length of a side of a square whose area is 300 cm².

A: Given: Area of the square 300 cm2

Q: A company produces a​ standard-size U.S. flag that is 3 ft by 5 ft. The company also produces a​…

A: Given Data: The length of the longest side of the short flag is: l=5 ft The length of the shortest…

Q: 2. Find the dimensions of a rectangle whose perimeter is 40cm and whose area is 96dm?.

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

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

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2    = 2…

Q: 3.) A 50ft by 40ft one-story house sits in lot that is 80 ft by 60ft. If the edge of the house to…

A: (3) Given area of house 50 ft by 40 ft. Area of the lot 80 ft by 60 ft. If the edge of the house to…

Q: A certain field measures 1/4 mile x 1/4 mile if there 5280 ft in a mile, what would the length of…

A: Given Data: The length of the field is: l=14 mile The width of the field is: w=14 mile The number of…

Q: A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut…

A: Topic - application of quadratic equations

Q: What is the length of the diagonal of a rectangle given the dimensions are 8 ft by 5 ft? Round to…

A: Given: Dimension of rectangle = 8 ft x 5 ft

Q: A design at the entrance to the jaguars is made up of 8 isosceles triangles. If the legs of each…

A: Topic- perimeter of isosceles triangle

Q: Find the dimensions of the cube.  Volume = 64 in.33

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Q: A veterinarian wishes to use 108 feet of chain-link fencing to enclose a rectangular region and…

A: We have to find out

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the

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Q: Find the area of an equilateral triangle if each of its sides has length 12 cm.

A: Given: An equilateral triangle has a side length of 12 cm. The area of an equilateral triangle of…

Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

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Q: What is the area of the kite if the diagonals are 12 in and 7 in long?

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Q: A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut…

A:

Q: If the length of this parallelogram is 12cm long and the width is 8cm long, how long is its…

A: Find perimeter of parallelogram

Q: 3. Find the length of the diagonal of a cube whose volume is 27 cubic cm.

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Q: A pizza company has an 10-in square pizza and a 24-in wheel pizza. What is the area of the each size…

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Q: Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of (round to the…

A: In the question it is asked to calculate the area (A) of pentagon and side length (L) using the…

Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: Let the adjacent of side be x ft. then the other side will be be 5x ft. The area of rectangular…

Q: From a 15-cm by 15-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A:

Q: If the area of the red rectangle is 27 cm2 and O is the centre of a bigger circle, what is the total…

A: Let, the radius of the small Circle be r and that of the big circle be R.  So, 2r+2R = 24 So, r+R =…

Q: Identical squares are cut from each corner of an 8 inch by 11.5 inch rectangula piece of cardboard.…

A: Volume of box

Q: If all sides of a square are 15 cm, What is the perimeter of the square?

A: If all sides of a square are 15 cm, we have to find the perimeter of the square

Q: can a 11cm length of wire be bent to form the base and height of a triangle with an area 20cm2

A: The wire of 11 cm is bent in the form of 'L'. If the vertical side, h cm of 'L' shaped wire is…

Q: A soccer field is 90 m wide and 120 m long. If coach Schwartz asks players to run from one corner…

A: The soccer field is in a rectangular shape whose width is 90 meters  and  length is  120 meters.

Q: Suppose that the volume of an aluminum can is to be 97 in. Find the dimensions of the can if the…

A: given: the volume of an aluminium can is 9π in3. we have to find the dimensions of the can if the…

Q: Given that the Diameter of Earth is about 7200 miles, how many Earths would fit across the Sun ?

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: If area of a triangular peice of cardboard is 90 cm2 , then The length of altitude corresponding to…

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Q: a box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and…

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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: If a rectangular garden is 35 ft. by 45 ft., how many feet of fence are needed to enclose it?

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Q: If a rectangle has a length 10 cm and a width of 6 cm, what is the perimeter?

A: If a rectangle has a length 10 cm and a width of 6 cm.

Q: If the perimeter of a regular dodecagon (12 sides) is 99.6 cm, how long is each side?

A: By definition, a regular dodecagon is a polygon with 12 congruent sides. Then, the perimeter is…

Q: 2. Find the length of a side of a square whose area is the same as that of a rectangle 24 cm by 30…

A: We use Area of square = (side)2 Area of rectangle = Length X Breadth

Q: How many different rectangles can be built using one-unit square with an area of twelve square…

A: Area of square = 12 sq. unit Factors of 12  = 1×12, 3×4, 4×3, 12×1 So the possible lengths and…

Q: A project requires 84 concrete blocks, each of which is a cube measuring 14" by 14" by 14". How many…

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

A: Given rectangle The corners are cut unto little squares Squares have equal side = x mfind : Maximum…

Q: How many 1-cm squares does it take to construct a square that is 1 m on each side?

A: The length of the square on each side  Area of the square  But

Q: 2. If the edge of a cube is 1.75 m, then how many square centimeters are there in its entire…

A: Given :  Edge of Cube =a=1.75 m To find : surface area of cube in square centimeters

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

A:

Q: . If a concrete column is 20" in diameter and 18'-3" in height, how many cubic yards of concrete…

A: Given that, a concrete column is 20'' in diameter and 18'3'' in height.We need to find how many…

Q: How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm , each…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.