Answered: (c) An open aquarium with rectangular…

(c) An open aquarium with rectangular sides and bottom is to hold 13.5 liters. Find its dimension so that it will use the least amount of material. (Romork: 1 liter 1000om3)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...

See similar textbooks

Related questions

Q: An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material…

A: let x = one side of the square baselet h = the height of the open box The volume: x2h=10h=10x2…

Q: A farmer is building a new cylindrical silo with a flat roof and an earthen floor that will hold…

Q: Consider the triangular plate shown in the accom- panying sketch. How must a total mass of 1 kg be…

A: given

Q: 2. Find how fast the volume, surface area and diagonal of a cube as the length of the edge

Q: A box with a square base and open top must have a volume of 32m3. Find the dimensions of the boxthat…

A: Given, V=32 m3 ..........................(1) The amount of…

Q: the dimensions of rectanqular tank, the top, having volume of 108 cm? amount of material for c)…

Q: (c) An open aquarium with rectangular sides and bottom is to hold 13.5 liters. Find its dimension so…

A: The solution of the problem is given in the next step.

Q: A machinist in an engineering machine shop has ordered a sheet of plastic with dimensions of 5 m × 6…

A: Dimensions of plastic sheet = 5m×6m×50mm Dimensions of door = 3m×4m where Length of…

Q: A box with a square base and open top must have a volume of 32,000cm^3. Find the dimensions of the…

A: Given Data: The volume of the box is: V=32000 cm3 Let, The side of the square base is x and the…

Q: A rectangular box having a square base and open at the top is to have a capacity of 16823 cc. Find…

A: Given; A rectangular box having a square base and open at the top is to have a capacity of 16823 cc.…

Q: 3. A 5,000 m? rectangular area of a field is to be enclosed by a fence, with a moveable inner fence…

Q: A box with a square base and open top must have a volume of4000 cm^3. Find the dimensions of the box…

Q: Find the dimensions of a closed rectangular Box that has a square base, a capacity of 125 in^3, and…

Q: A rectangular poster is to contain 800 square inches of print. The margins at the top and bottom of…

A: Given data: Area of the poster which contains print is: A = 800 in2 Margin at top and bottom is: x0…

Q: A cardboard box without a lid is to be made with a volume of 4 ft3. Find the dimensions of the box…

A: Given details volume = 4 ft3 Let cardboard dimension…

Q: с. How should the fencing be used to get the maximum possible area? How much area will the chickens…

A: Given that Total length of fencing wire is 100 ft to build the chicken coop. Since marissa has to…

Q: 6. Marcus is constructing a rectangular pricm using exactly 96 cm² of cardboard. will have the…

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: A tube of lip balm has a height of 2.75 inches and a diameter of 0.75inches. a. if the cap on the…

Q: A cardboard box without a lid is to have a volume of 4000cm3. Find the minimum amount of cardboard…

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

Q: A cardboard box without a lid is to have a volume of 32,000 cm3 . Find the dimensions that minimize…

Q: You are designing a rectangular poster to contain 75 in? of printing with a 3-in margin at the top…

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: A square-based prism has a volume of 8000 mm3 . What are the dimensions of the prism for the minimum…

A: Consider a square-based prism which has a volume of 8000 mm3. The objective of the problem is to…

Q: 2. Use the fact that 12 oz is approximately 6.897 in to find the dimensions of the 12 oz Coke can…

Q: A closed rectangular box witha volume of 81lft' is made from two kinds of materials. The top and…

A: Given, A closed rectangular box with a volume of 81 ft3is made from two kinds of materials. The top…

Q: In the quest for the perfect donut, you decide that to make it, you're going to rotate the graph of…

A: The graph is drawn as :

Q: A window is being built with the lower part being a rectangle and the top part being a semicircle…

A: Window shape- A rectangle with dimension (h×2r) and a semi circle with radius r. Framing material…

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

Q: 5. Crunchy Coco Hunks cereal comes in a rectangular box that must be exactly 4 inches deep. If the…

Q: Alex wants to design a beach cabana tent with a rectangular box shape. The tent will have two square…

Q: 9) A manufacturer wants to use 108 square inches of material to make an open topped box with a…

Q: Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and…

A: Bill is constructing a rectangular corral in his yard and he has only 32 ft of fencing material. We…

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

A: The solution are next step

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

Q: Find the rectangular box of maximum volume if the sum of the lengths of the edges (x + y + z) is 324…

Q: A box with a square base and open top must have a volume of 32,000cm3 . Find the dimensions of the…

Q: 2) An open box constructed from a tin sheet has a square base and a volume of 216 in cubed. Find the…

Q: Q3. Find the largest volume of a rectangular box with no top made by cutting little squares out of…

A: The dimension of the rectangular sheet is We need to find the largest volume of the rectangular box…

Q: 2. What is bigger: A fridge with 21 cubic feet of space in it, or a huge bathtub that can hold 100…

Q: | We have 48 m? of material to build an open box with a square base. nine the dimensions of the box…

Q: A box with a square base and open top must have a volume of 32,000cm³. Find the dimensions of the…

Q: A cardboard box without a lid must have a volume of 4m³. - Determine the dimensions that minimize…

Q: A company wants to come up with a package box that has a square base a volume of 125 cubic ft. What…

Q: A pencil cup with a capacity of 20in.^3 is to be constructed in the shape of a rectangular box with…

A: Given,A pencil cup with a capacity of 20in3. The shape of the cup is a rectangular box with a square…

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

Question

(c)
An open aquarium with rectangular sides and bottom is to hold 13.5 liters. Find its dimension so
that it will use the least amount of material.
(Remark: 1 liter = 1000cm3)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the subdivided plots shown. aWhat are the overall dimensions of the rectangular enclosure shown? bWhat is the total area of the enclosure shown?
A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
A diagonal of a cube joins two vertices so that the remaining points of the diagonal lie in the interior of the cube. Show the diagonal of the cube having edges of length e is e3 units long.
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
Find inside caliper dimension x. All dimensions are in inches.