Answered: 15. If 1200 cm² of material is…

15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest possible volume square of the box.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...

See similar textbooks

Related questions

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A: To Find: the dimension of the largest rectangle ( in terms of area) that can be inscribed in a…

Q: A campground owner plans to enclose a rectangular field adjacent to a river.The owner wants the…

A: A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the…

Q: 14) A rectangular prism has a density of 19 g/cm² and a mass of 4104 grams. What could be a possible…

Q: What is the edge length of a cube with a volume of 1 L?

A: Volume of a cube is 1 L.

Q: 3). A printer need to make a poster that will have a total area of 200 in² and will have 1 inch…

A: A printer has total area =200in2 1 in marigi on sides 2in on top ,1.5 in bottom margins. Let L be…

Q: 9) The great pyramid in Egypt has a square base with a side length of 250 ft and a height of 481…

A: It is given that the base is square with side, a=250 ft and height is, h=481 ft. Artificial model…

Q: 4. A homeowner wants to enclose three adjacent rectangular pens of equal size along a straight wall.…

A: We have to find the largest area that can be enclosed using only 240 feet of fence

Q: what is the volume of the regular pyramid to the nearest whole number

A: We want to find volume of a regular pyramid.

Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares…

A: Explanation of the answer is as follows

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given: A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: 43) Find the largest volume of a rec by cutting little rectongular box with out of the four no top…

Q: 3. The volume of an open box with a square base is 1,000 cm3. Find the dimensions of the box if the…

Q: 1. Find the volume of a prism if the base is an equilateral triangle with sides measure 5 meters and…

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

Q: 7. The volume of a certain rectangular prism is (2x3+ x2-22x + 24) cubic units. If the height is…

A: As per the guidelines when multiple question are posted in single pic then we are supposed to solve…

Q: 7. If a cylinder has a surface area of 60 square inchess and a diameter of 3 inches, what is its…

A: Given : Surface area of cylinder = 60 sq. Inches Diameter (2r ) = 3 inches

Q: 8. If 1000cm² of material is available to make a box with a square base and an open top, find the…

A: Given:- If 1000cm² of material is available to make a box with a square base and an open top, To…

Q: 4. A coffee shop owner has 32 m² of brick to use for the floor of a patio along the side of the…

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

Q: 1. What is the length of the edge of a cube if its volume is 27 cubic meter? 2. What is the volume…

A: Formula: Volume of the cube = a3 Diagonal of cube =√3.a Surface area of cube =6a2 Where a- edge…

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cm long,…

Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: Here, we need to find the Lateral surface area of the cone with the given measurements. And, the…

Q: 7. Find the volume of the largest box that can be made by cutting equal squares out of the corners…

Q: 32.) What is the volume of a 6 foot high square pyramid with base edges of 8 feet?

A: Base = 8 feet height = 6 feet Volume of square pyramid = Area of base * height…

Q: 15. If 1200 cm²? of material is available to make a box with a square base and an open top, find the…

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cmlong,…

A: Let the edge length of the cube be 'a' units

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: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

Q: (8) If 1200 cm? of the material is available to make a box with a square base and an open top, find…

A: The volume of the box V=a2h

Q: 5. What is the largest rectangular area a farmer can enclose using 60 meters of fencing material?

Q: 4. The volume of the fish tank needs to be tripled. 10 in 3 in 18 in What scale factor should be…

A: Given a fish tank whose volume has to be tripled. To find the scale factor

Q: 20. If the length of a side of a cube is 3x2, what is the volume of the cube? What is the surface…

A: The detailed solution is given below Thank you

Q: 14. City college is having a poster contest. The posters must be rectangular in shape, and they must…

Q: 12. Find the volume of a right circular cylinder that can be circumscribed about a cube whose…

Q: 1. What is the volume of a rectangular prism when the Length is 3, the width is 2 and the height is…

A: We can find the volume of the prism as below.

Q: b) A rectangular sheet of metal with perimeter 14cm is rolled into a cylinder. What dimensions of…

Q: 5. How many cubic yard of material are needed for the foundation of barn 12 m by 24 m., if the…

A: How many cubic yards of material are needed for the foundation of barn 12m by 24m, if the foundation…

Q: 2. Find the length of the edge of a cube if its length is increased by 6 cm, its width increased by…

Q: 8) The base of a prism is a triangle with a base of 9 inches and a height of 5 inches. Determine the…

A: We are given that the base of a prism is triangle with base 9 inches and height 5 inches. We have to…

Q: 8. If a cube has a surface area of 216 cm2, what is its volume? 729 cm3 216 cm3 54 cm3 36 cm3

Q: Please write detail explaination, approach and so on

A: Length of the diagonal of the square = 13' - 9"1' = 12"Hence, length of diagonal in inches = 13 x 12…

Q: 27.) What is the volume of a rectangular prism whose edges measure 2 feet, 2 feet, and 3 feet?

A: The volume of a rectangular prism= Length * breadth * height…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: the shape of silo is as shown The total area if given by area of the circular base + area of…

Q: 6. What is the volume of the square pyramid with base edges 4 m and height 3 m? 3 m 4 m 4 m 8 m3

Q: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .

Q: . If the volume of a sphere is 36 cm3 . Find its surface area

Question

15. If 1200 cm² of material is available to make a box with a
square base and an open top, find the largest possible volume
of the box.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end. a If these are joined at the ends to form a quadrilateral that has the 8-ft pieces connected in over, what type of quadrilateral is formed? b If these are joined at the ends to form a quadrilateral that has the 4-ft and 8-ft pieces alternating, what type of quadrilateral is formed?
When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle that has the smallest perimeter. What type of figure has the smallest perimeter?
A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long is each leg of the isosceles triangle?_