A rectangular box of dimensions 14 ft m 18 ft m 33 ft is colored on one pair of opposite sides in re another pair of opposite sides in blue, and the third pair of opposite sides in green. If the rectangul box is divided into smaller cubes of side 3 ft, how many cubes will have no faces colored?

A rectangular box of dimensions 14 ft m 18 ft m 33 ft is colored on one pair of opposite sides in re another pair of opposite sides in blue, and the third pair of opposite sides in green. If the rectangul box is divided into smaller cubes of side 3 ft, how many cubes will have no faces colored?

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

Chapter4: Polynomials

Section4.10: Problems Without Solutions

Problem 14P

See similar textbooks

Related questions

Q: How many spherical balls can be made out of a solid cube of lead whose edge measures 66 cm and each…

Q: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

A: Let ‘x’ be the original length of the square cardboard.

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2 = 2…

Q: If the side of the cube is 2 cm , then the surface area of the cube is. O 24 sq. cm. O 48 cubic cm.…

Q: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

A: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

Q: A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut…

A: Topic - application of quadratic equations

Q: box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than…

A: First considered length and width and use volume formula of rectangular box

Q: All of the dimensions of a rectangular prism are enlarged by a factor of 4. 12 in 6 in 5 in What…

Q: The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of…

Q: 1. If the height of a cylinder is 8 inches and the volume is 226.08 cubic inches, find its radius.

Q: 11. An open-top box is to be made by cutting small congruent squares from the corners of a 12" by…

A: Let, the square cut from the corners are h×h inches. Now, the open box will have the height h, the…

Q: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long are cut…

A: Given: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long…

Q: How many spherical balls can be made out off a solid cube of lead whose edge measures 66 cm and each…

A: Volume of cube is equal to volume of lead balls.

Q: 2 A cube of side 125 cm is painted red on all the faces and then cut into smaller cubes of sides 25…

Q: Which of the following has a volume less than 432 cubic inches? O a cube with a side length of 9…

A: Topic:- volume

Q: 3. Find the area of the base of a regular square pyramid whose lateral faces are equilateral…

A: Solution by pythogoras theorem

Q: What would be the volume and surface area of the figure if each side cube of butter has a side…

A: Solve for surface area and volume of given figure.

Q: In the figure, there are infinitely many circles approaching the vertices of an equilateral…

A: Introduction: An equilateral triangle is a triangle which has sides of equal lengths. If we draw a…

Q: . A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting…

Q: If 1,200 cm^2 of material is available to make a box with a square base and open top, find the…

A: Given surface area of open box=1200cm^2 Now we have to find the largest possible volume As shown…

Q: A rectangle is inscribed in the right triangle with sides 5 in., 12 in. and 13 in. . If the two…

Q: 2. Use the given dimensions to find the areas of the vehicle and chairs. Then determine if the…

Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

Q: f 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

Q: Find the dimensions of a rectangle with perimeter 200 ft and whose area is as large as possible. O…

Q: A can is about to stack in the form of a two dimensional Christmas tree, if the required base of the…

A: This is a question related to sequence and series part. From base the number of can will be…

Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from…

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: wooden pyramid of altitude h is to be sawed into three parts of equal weight. How far from the…

A: Consider the pyramid with rectangular base. Let base length=l, base width=w Given altitude = h…

Q: The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of…

Q: a box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and…

Q: ' If there are 1 4 cu. ft. in a capacity ( in bushels ) of a hopper in the shape of an inverted…

Q: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you…

A: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you check…

Q: 36. A 900 cm' open box is made by cutting 4 cm X 4 cm squares out of each corner of a square piece…

A: The given question has been solved in detail

Q: Find the net area of material required to make half dozen lamp shades each shaded as a hollow…

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

Q: Each pattern below is made of six congruent squares which pattern can be folded into a cube that has…

A: Surface area of cube = 6a2 = 96 ⇒a2 = 9616 = 16…

Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

Q: In the figure there are infinitely many circles approaching the vertices of an equilateral triangle,…

Q: To enlarge the kit, Felix suggests including two each of two-colored cubes (using two of the colors…

Q: From a square piece of metal, whose side is 27 cm long, an open box with square base is to be made.…

Q: THE BASE OF A REGULAR PYRAMID IS A REGULAR HEXAGON, EACH OF WHOSE SIDE IS 6 cm. IF THE SLANT HEIGHT…

A: Topic = Measuration

Q: Suppose that each of the bases of the hexagonal prism below has an area of 17 cm2 and that the…

A: Given :Area of the each of the base of the prism , A=17 cm2Altitude h=10 cm Aim: To find the…

Q: A manufacturer has an order for 20,000 megaphones. The megaphones, conical in shape, are to be 2…

A: This question is about a conical object formation. So, we have to use volume formula of cone having…

Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

Q: Each child in a class is at least 110 centimeters tall and at most 142 centimeters tall. How large…

A: Given: Lower limit of height of a child (a) = 110 Upper limit of height of a child (b) = 142…

Q: 5. The height of the cube toy box of Terence is 4x? - 3y?, If the volume of the cube is 64x* -27y,…

A: Given:- The height of the cube toy box of Terence is 4x2 -3y². If the volume of the cube is 64x6…

Q: The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: From a 24-cm by 24-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given that: Size of paper = 24cm x 24cmSize of the cut = xcm

Q: n open box is formed from a rectangular piece of cardboard that is 5in longer than it is wide, by…

A: Assume width of cardboard=x length of cardboard=x+5 after removing square of 3 inch from side…

Q: Find the dimensions of a rectangle (in m) with area 1,331 m² whose perimeter is as small as…

Question

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Prisms$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

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 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?
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?
Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.
Find the total area surface area of a regular dodecahedron 12 faces if the area of each face is 6.4cm2.
In the part shown in Figure 39-9, all dimensions are in inches. a. What is the total length of this part? b. What is the length from point A to point B?