A termite lives in the very middle of a large cube divided into 27 small cubes. It has always dreamed of discovering the entire cube by taking an awesome journey. Since it does not want to be bored during the journey, it wants to visit all small cubes exactly once. It can go into a new small cube if the new and the current one share a face. Can its desire be fulfilled?

Q: If the height of a cone is multiplied by 5, how will this affect its volume   5 times greater…

A: As Volume of a cone is given as  V1 =13πr2h1 If height of the cone is multiplied by 5  h2=5h1 Then…

Q: A pool is 50 meters long and 15 meters wide. if it is to be filled with water to a uniform depth of…

A: Volume of a pool

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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Q: here is a building shaped like a square-based pyramid. The length of each side of the buildings base…

A:

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: A rectangle piece of a metal has a length that is 10 inch longer than it’s width. Squares with sides…

A:

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The first letter is A. So 1 choice for the first letter. For the…

Q: Suppose you are standing such that a 40-foot tree is directly between you and the sun If you are 5…

A: Given,         Suppose we are standing such that a 40-foot tree is directly between you and the sun.…

Q: a. A rectangle has a length of 3 inches and a width of 5 inches. How would the perimeter and the…

A: According to a Bartleby guidelines only one question can be solved at one time, post the remaining…

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

A:

Q: a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs.  If the…

A:

Q: Suppose a long rectangular sheet of metal, 12 inches wide and 10 feet long, is to be made into a…

A:

Q: A busy airport sees 1500 takeoffs per day. Prove that there are two planes that must take off within…

A: In a day there are 24 hours.  1 hour= 60 minute So, in a day there is = (24×60)=1440 minutes.

Q: A witness to a hit-and-run accident told the police that the license plate number contained the…

A: Given data: plate number contained the letters BDD followed by 4 digits, the first of which was a 4…

Q: Find four consecutive odd internet’s such that four times the sun of the first and third is four…

A: To find four consecutive odd integers such that four times the sum of the first and third is four…

Q: The altitude of a right triangle that meets the hypotenuse at a right angle divides the triangle…

A:

Q: ters each contain

A: answer is in next step

Q: If all men had identical body types, their weight would vary directly as the cube of their height.…

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Q: The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body…

A:

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

Q: Suppose you must use 1x“-tile and 10 x-tiles. You only have up to 15 1-til use. How many of the…

A: Introduction: A rectangle is a quadrilateral with equal angles and opposite sides that are equal and…

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

A:

Q: It takes 10 minutes to make, 20 minutes to paint one captain’s chair, whereas it takes 5 minutes to…

A: Given: For Captain's chair, time for making= 10 mins time for painting= 20 mins   For the regular…

Q: In a vessel full of wine there are three taps such that if one opens the largest it will empty the…

A: Given, in a vessel full of wine there are three taps such that if one opens the largest it will…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let x be the width and y be the length of the rectangle.From the given statement, the three side…

Q: If we take a golden rectangle which has base equal to φ and height equal to 1, and we subdivide that…

A: Given: Height and base of rectangle are 1 unit and φ unit.   To find: Dimension of smaller rectangle…

Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

A:

Q: In a medical supply​ room, there are 165 packages of type O positive blood and 210 packages of type…

A: Given Information - Number of type O positive blood packages = 165 Number of type AB negative blood…

Q: Suppose a n × n chessboard is missing two opposite corners. Prove that no matter what n is, you will…

A:

Q: One side of a triangle has length of 10. The altitude to that side has length 12. If you make a new…

A: Given, one side of a triangle has length of 10 and the altitude to that side has length 12. ∴ The…

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

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Q: n aluminum wire with a length of 2m will be cut into two pieces. One of the two pieces will be bent…

A: Given that: Total length of wire = 2m

Q: (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

A: Hey, since there are multiple subparts posted, we will answer first question. If you want any…

Q: . If in a rectangle, the length is increased.and the breadth is reduced by 2 units each, the area is…

A: let the length of the rectangle be L units and the breadth of the rectangle be b units  so its area…

Q: In a very simple computer chip, 8 wires go from one transistor to a second transistor. For the…

A:

Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

A:

Q: If the square of the length of the inside of a triangle equals the sum of the squares of the Lengths…

A: Given, If the square of the length of the inside of a triangle equals the sum of the squares of the…

Q: A fence is composed of x posts, each of which is 4 cm wide. If there is 6 cm of space between each…

A: The solution is given below.

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: From the given information, There are 26 letters in total in which we have to select three letters…

Q: Suppose two squares of the same color are removed from an 8 x 8 chessboard. Is it possible to tile…

A:

Q: cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimeter cubes, how…

A: There are six side of the cube and as side of cube is 5cm and hence each side will have 5×5=25

Q: Consider two real numbers such that the sum of their squares is no more than 1. How big can the sum…

A:

Q: A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive…

A: The bounces of the ball represents a geometric sequence with First term=a=7Common ratio=r=67100=0.67

Q: A rectangular shipping container has a volume of 1008 cm3.  If the piece of      rectangular…

A:

Q: A ball is dropped from a height of 192 feet. If it rebounds 3 4 of the height from which it falls…

A:

Q: Suppose it takes 10 hours to fill a rectangular swimming pool of uniform depth. How long will it…

A: Solve using flow rate.

Q: 5. The area of the rectangular banner should be 6.75 square meters. If the length is to be thrice…

A: