Answered: An open rectangular box with square…

An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft² for the base and Php 50/ft² for the sides. Find the most economical dimensions.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 19A: A rectangular steel plate 15.10 inches long and 12.45 inches wide weighs 19.4 pounds. Find the...

See similar textbooks

Related questions

Q: If the rectangular barge is 3.0 m by 24.0 m and sits 0.90 m deep in the harbor, how deep will it sit…

Q: The volume of a sphere is 2,240 yards ^3. What will be the new volume if the dimensions are…

Q: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base has a length of…

A: To Determine: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base…

Q: he volume of a cylinder in terms of pi with a radius of 3 mm and height of 10 mm is 90π mm3. True…

Q: An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00 per…

A: We have to find the cost of the rectangle.

Q: One cake is rectangular with a length of 14 inches, a width of 10 inches, and a height of 2…

Q: Find the volume of the rectangular pyramid given its length = 8 cm, width = 7 cm, and height of 6…

A: Volume

Q: What is the length of the edge of a cube if,after a slice 1 inch thick is cut from one side,the…

A: Given: The edge of the cube cut the 1 inch. After that volume remains 294 cubic inches.

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft²…

A: Solution: An open rectangular box volume = 392 ft3 Cost at base = 75 /ft2 Cost at the side = 50…

Q: the base of the prism is a rectangle whose length is 3 cm more than the width. of the altitude of…

Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in Length = (12-2x) in…

Q: what has a greater volume, a cube with side length 20cm or a sphere with diameter of 20cm?

A: we have a=20 cm FORMULA

Q: 2. A rectangular box open at the top with square ends is to be built to hold 392 ft at a cost of Php…

A: Given volume of The bar is 392ft3 Cost for making of base is php 75/ft2 and for sides Php 50/ft2…

Q: The sides of a square are 4 cm long Calculate the length of a diagonal

A: To calculate the length of the diagonal if the side of the square is 4 cm.

Q: A shipping container is in the shape of a right rectangular prism with a length of 14 feet, a width…

A: Mensuration Question

Q: A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a…

A: Length of right rectangular prism= 13.5 feet Width of right rectangular prism= 11 feet Height of…

Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: The floor of a storage unit is 12 meters long and 9 meters wide. What is the distance between two…

Q: A rectangle has a width of 59 cm and a perimeter of 238 centimeters. What is the rectangle ‘s…

A: The length of the rectangle is 59 cm. perimeter of the rectangle is 238 cm.

Q: A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can…

Q: A rectangular box made of recycled carton papers has a capacity of 2880 cu. cm. and surface area of…

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A: We have to find out dimension of rectangle

Q: A page is to contain 54 sq cm. of printed material. If the margins are lcm at the top and bottom and…

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3, is 16 cubic centimeters. True or…

A: We will solve the following.

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 42cm. the…

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 33.6 cm.…

A: Topic = Mensuration

Q: the area of the base of a cone is equal to 11.56 π cm2. if the cones slant height measures 5.5cm,…

Q: An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft? for…

Q: Find the cost of pouring a square concrete slab of uniform thickness with sides of 45 ft if the cost…

A: Side of square = 45 ft Area of square = (side)2 = 452 = 2025 sq ft. Cost of 1 square ft = $5.25…

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: find the price for a 700 cm board if the board is sold for $1.25/m?

Q: A water trough is 9 m long and has a cros height 50 cm. If the trough is being filled m/min

A: Given a water trough which is 9 m long and has a cross section in shape of an isosceles trapezoid

Q: What are the dimensions of the lightest open-top right circular cylindrical can that will hold a…

Q: An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00 per…

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft?…

A: According to question,Given volume,Volume of box = 392 ft3,Cost for build base = 75/ft2,Cost for…

Q: Two trim boards need to be used together to cover a 12-ft length along one wall. If Jim recalls that…

A: Given that two trim boards need to be used together to cover a 12-ft length along one wall. And one…

Q: he face of the right triangular

A: Given,

Q: An open box is to be made from a square piece of married by cutting 4 cm squares from each corner…

A: Given, The volume of the finished box is 324 cm3.The side of the cutting squares is 4 cm.To find the…

Q: A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width…

Q: The owner of the Rancho Grande has 2,972 yd of fencing with which to enclose a rectangular piece of…

Q: O Nicole has a cabinet in the shape of a right rectangular prism. The volume of the cabinet is 24…

A: We have to find the height of the cabinet Using formula V=A ×h Where V is the volume of the…

Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

A: Given: length of the box=l=2+width=2+wwidth=w=? and height=h=6Also…

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft?…

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

Q: An open rectangular box with square ends is to be built to hold 392 ft³ at a cost of Php 75/ft? for…

Q: The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A: We have to find diagonal

Q: A contractor orders 8 cubic yards of premixed cement, all of which is to be used to pour a patio…

A: To Determine: what will be the patio dimensions? (1 cubic yard = 27 cubic feet) Given: A contractor…

Question

Solve for the following. Kindly provide a factual detailed solution and handwritten.

An open rectangular box with square ends is to be built to hold 392 ft³ at a cost of Php 75/ft² for the base
and Php 50/ft² for the sides. Find the most economical dimensions.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs 15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?
A rectangular steel plate 15.10 inches long and 12.45 inches wide weighs 19.4 pounds. Find the weight of the plate after three 4.65-inch diameter holes are cut. Round the answer to the nearest tenth pound.
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gal of gasoline, what is the total storage capacity of the tank measured in gallons?