Answered: 2. A box is made such that the height…

2. A box is made such that the height is 2 cm longer than the width and the length is twice the width. The volume of the box is 576 cm³. Determine the dimensions of the box.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.10: Inverse Variation

Problem 5E

See similar textbooks

Related questions

Q: Suppose you want to build a rectangular deck in your back yard. You want it to be 6 meters wide and…

A: topic - area of rectangle

Q: A cylinder with a diameter of 15 inches and a height of 18 inches is placed inside a cube with…

A: Given, Cylinder: Diameter=15 inches Height=18 inches Cube: Dimension(side)=18 inches Find How…

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

Q: A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

A: We have, a rectangle has an area of 180 cm2 and a perimeter of 54 cm. Let us consider that the…

Q: 10. If the length of the top of a rectangular table is 15 inches more than its width and the area is…

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: (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 open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: An open box with a volume of 128 cm³ can be made by cutting a square of the same size from each…

Q: 2. A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters.…

A: The solution to the given question is explained.

Q: A rectangular field measures 12 m long and 18 m wide. It will be equaly partitioned into small…

A: Length of rectangular field is l=12 m and width is b=18 m. Area of the rectangular field is A=lb…

Q: . A rectangular lot has an area of 240 m². What is the width of the lot if it requires 64 m of…

A: Let's find.

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Volume = A×A×H Where A is surface area and H is Hight

Q: About how much greater is the perimeter of a square with area 250 square meters than a square with…

Q: What is the largest area possible for a rectangle whose perimeter is 2021 cm and what its dimensions

A: Let the sides of the rectangle are x and y. Then according to the given information…

Q: The length in meters of the four sides of a building are 3x, 6x - 5, 9x, and 4x + 1. (a) Calculate…

A: (a). Add 3x, 6x-5, 9x and 4x+1 to calculate the total length around the building.…

Q: 9. If the diagonal of a rectangular room is 30 feet and one wall measures 6 feet longer than the…

Q: Two spheres have surface areas of 36cm squared and 49 cm squared. If the volume of the smaller…

A: Surface area of smaller sphereA1 is 36 cm2. Surface area of larger sphereA2 is 49 cm2. Consider the…

Q: 3. Find the length of the diagonal of a cube whose volume is 27 cubic cm.

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

Q: A rectangular box with a volume of 720 ft is

A: The volume of the rectangular box is 720 ft3. From the provided diagram, the height of the box is y…

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 owner of the Rancho Grande has 2,980 yds of fencing with which to enclose a rectangular piece of…

Q: 2. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Consider the given information. Let's consider that x is the side of the base and h is the height.…

Q: Marcus creates a two-dimensional cross-section by slicing a cube parallel to its base. If the volume…

Q: A chemical power plant is rectangular and has a length of 100 m and a width of 60,000mm. A safety…

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area. we have…

Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

Q: 2 The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base…

Q: 1. The length of a rectangle is 5 inches less than twice its width. If the perimeter is 24 inches,…

Q: 4. The length of a rectangular box is 3 ft more than its width and the height is 5 ft more than its…

A: Consider a rectangular box with length l, width w and height h. Then the volume of this rectangular…

Q: A rectangula plot of land is to be seeded with grass. If the plot is 16 m by 12 m and a 1kg bag of…

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: 2. A floor is 10 m long and 6 m wide. A square carpet of side 5 m is laid on the floor. Find the…

A: It is given that length of floor, l=10 m and width, b=6 m. Side of carpet is given as, a=5 m.…

Q: 3.The area of the floor in a square room is 121 square meters. What is the length of the wall of the…

Q: Find the volume of a cone with a base area of 36π cm. and a height of 2 cm less than the radius.…

Q: 9 m 17 m

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: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: 4. How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to…

Q: If the surface area of a sphere is increased by 21.5%, its volume will most likely be increased by…

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 machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

A: Definition used - The volume of box = Area of base x height…

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: To find the relation between heights of pyramids

Q: A rectangle has a width of 20 m and an area of 60 m. What is the length of the rectangle? 3m A…

Q: A margarine tub has the shape of a frustum of a cone. With the lower base having diameter length 11…

A: Given: A margarine tub has the shape of a frustum of a cone. The lower base of a margarine tub:…

Q: 1. The length of a rectangle is 4 inches less than twice its width. If the perimeter is 18 inches,…

A: Let l be the length of the rectangle and w be the width of the rectangle. It is given that the…

Q: When the length of each edge of a cube is increased by 1 cm, the volume is increased by 61 cm'. What…

A: Since, it is given that Volume of Cube get increased by 61 cm3 wheneverthere is an increment in each…

Q: The volume of a sphere is 2,240 yd³. What will be the new volume if the dimensions are multiplied by…

A: First find radius and multiply by one fourth then use volume formula

Question

100%

Pls help ASAP.

2. A box is made such that the height is 2 cm longer than the width and the length is twice the width. The volume of
the box is 576 cm3. Determine the dimensions 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

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

Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.
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 cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches of cardboard make up its surfaces? Disregard any hidden flaps.
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?
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?