Problem 15. A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic meters. If the box has the least possible surface area, find its dimensions. Height = (include units) Length of base = (include units)

Q: Problem 5 A cylindrical can with closed bottom and closed top is to be constructed to have a volume…

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Q: PROBLEM 4: A corner lot, triangular in shape, has perpendicular sides measuring 120 m and 160 m,…

A: Given

Q: D Question 15 A box with a square base and no top is to have a volume of 4 cm³, Find the least…

A: Minimum surface area

Q: A rectangular page is to contain 24 square inches of print. The margins at the top andbottom of the…

A:

Q: Problem 4. A cylinder with radius r is inscribed in a sphere with radius R. Find the radius r of the…

A: Use volume of cylinder

Q: Problem A company is constructing an open-top, square-based, rectangular metal tank that will have a…

A: Solve for dimensions

Q: In Problems 72. find the volume of the solid whose base is the region in the first quadrant bounded…

A: When area of cross section perpendicular to the y−axis is known and if its area is defined by the…

Q: Volume Problems (Sphere 4nr3 3 ft 3.

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Q: Problem. A circle whose area is 100t m2 is cut into four segments by a vertical and horizontal chord…

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Q: C. Determine the volume of the Gabriel's Horn by method of slicing in Sec 6.2. D. Determine the…

A: A)  Evangelista Torricelli, 17th century.     B) Gabriel's horn in 3d view.

Q: QUESTION 5 Find the total surface area of the right pyramid below: 13 m %23 24 m

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Q: 1. A farmer intends to make four identical rectangular pens each with an area of 100 m? as shown in…

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Q: 1. A department store plans to construct a one-story building with a rectangular planform. The…

A: solution:

Q: Question 13 Pentagon Ph+2B 8+25 5 n. 40 Volume= Total Surface area= VS

A: Answer is in step 2.

Q: _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C.…

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Q: Question 12 Vhat is the volume of a cylinder with a diameter of 10cm and a height of 5cm?

A: Here given that      diameter 10 cm     Height =5cm.

Q: / Question 3 A cylinder has a height of 5 centimeters and a radius of 2.3 centimeters. What is the…

A: This problem is on mensuration. Option (c) is correct 83.10 cm3

Q: Problem 2. A cylindrical can without a top is to be made to have volume 100cm³. Find the radius of…

A: We have to use a concept of derivatives

Q: 1. A right triangle with area 2 square units is inscribed in a circle. If the center of the circle…

A: Given, a right triangle with area 2 square units is inscribed in a circle. Center of circle lies on…

Q: Question 14: A rectangular box with square base is constructed to have a volume of 9m3. The material…

A: Given:      Volume of rectangular box with square base =9 m3        Volume of square base v=x2y…

Q: 9. 6.2 yd 8.5 vd 15.7 yd 10

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. Surface Area Volume

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. qin Surface Area Volume 32. A…

A: Total Surface Area of Cylinder The total surface area of a cylinder is equal to the sum of areas…

Q: Question 7 Find the surface area of the solid. 2,304 square inches 1,095 square inches 1,800 square…

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Q: Problem #5 A shipping container is in the shape of a triangular prism. The triangular ends of the…

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Q: Question 3 A container with square base, vertical sides, and open top, is to be made from 3,000 ft²…

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Q: Problem 3: A company is designing a new container for its product. The container must have a volume…

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Q: Problem 3: It takes 41.7 BTUS to heat a 5-gallon jug of water. What is the density of a gallon of…

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Q: The volume of the resulting open top box when identical squares with side x are cut off from the…

A: Given that, the dimensions of the aluminum sheet are three-meter by five-meter. To find: The volume…

Q: Problem 12: a) You may have seen little conical paper cups near, say, water coolers: they are paper…

A: Given: -

Q: 1.19 A water system of 2 in. (inside diameter) pipe, having a length of % mile, is to be flushed…

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Q: Question 15 of 16, Step 1 of 1 18/29 Correct Among all rectangles that have a perimeter of 84, find…

A: Topic- Application of derivatives Let L=Length of rectangle W=width of rectangle Perimeter of…

Q: A rectangular corral of 96 square meters is to be fenced off and then divided by a fence into two…

A: We use second derivative test to find dimensions where amount of fencing is minimum

Q: Question 3 Find the total surface area of this triangular prism. 15 cm 30 cm O 2100 square…

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Q: -1647 Problem 9. Find the smallest possible surface area of a cylindrical can with volume equal to…

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Q: 1. A right triangle with area 2 square units is inscribed in a circle. If the center of the circle…

A: Given Right angle triangle area is 2 sq. units In a semi circle OA=OB=OC=rradius of circle

Q: Question 12 What is the volume of a cylinder with a diameter of 10cm and a height of 5cm?

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Q: Problem 3: Find the volume of the torus shown using: a. The Shell Method. b. The Washer Method.

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Q: Question 15 A box with a square base and no top is to have a volume of 4 cm³. Find the least amount…

A: Given: A box with a square base and no top is to have a volume of 4 cm3. To find: The least amount…

Q: Question 1 What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a…

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Q: Problem 02: A page is to contain 240 square centimeters of print. The margins at the top and bottom…

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Q: 1.) An open box is to be made with a volume of 36,000 cm3. Find the least material or surface area…

A: Given : An open box with volume 36000 cm2 Also, length=2×width Let,Length=lWidth=wheight=h…

Q: If a cube has edges that are each twice as long as a second cube then its volume will be eight times…

A: Calculate volume in the following way:-

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of…

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Q: 11. A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50…

A: Since you have posted more than multiple questions , as per guidelines we will solve the first…

Q: Question 3 1 pts If the ratio of length of sides of two similar solids is 5: 6, what is the ratio of…

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Q: Problem 2  A rectangular tank that is 88 feet long, 33 feet wide, and 1515 feet tall is filled with…

A: Length of the rectangular tank = 88feet Width of the rectangular tank = 33 feet Height of the…

Q: A box with a square base and open top must have a volume of 2500 cm3. What is the minimum possible…

A: Let's assume the sides of the square base = a and height of the box = h  So, the volume of the box =…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. q in Surface Area

A: Explanation and solutions is given below....

Q: Problem 1. What are the dimensions of the base of the rectangular box of greatest volume that can be…

A: Volume of box = base × width × height