The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with a possible error of 0.1 cm in each dimension. Which of the following is the maximum error in calculating volume of the box? O a. 115,5 O b. 155 O . 77,5 O d. 70 O e. 77

The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with a possible error of 0.1 cm in each dimension. Which of the following is the maximum error in calculating volume of the box? O a. 115,5 O b. 155 O . 77,5 O d. 70 O e. 77

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter39: Symbolism And Algebraic Expressions

Section: Chapter Questions

Problem 34A: For Exercises 23 through 34, round the answers to 1 decimal place. 34. All dimensions in Figure...

See similar textbooks

Related questions

Q: As shown, suppose a = 0, b = 3, and the density of the rod in g>cm is r1x2 = 14 - x2. (a) Where…

A: Density = 14 - x2 Starts from x = a = 0 Ends at x = b = 3

Q: A box with a s ware base and no top is to have avolume (surtace a ) 3. of 4cm. Find Hhe least anmont…

Q: The dimensions ofa veclangubr vegion are varying with the bimeltsaccotdng 1-28 Cm/see and Wazt+6…

Q: Consider the following measures of the segments shown in the diagram. B (3х - 1) BF = 3 cm F CF %3D…

A: We will use the relationship between two intersecting segments of a circle to find the value of x

Q: FInd the diemsions of a rectangular box, open at the top, having volume 727cm^3, and requiring the…

A: Let the length, breadth and height of the box be denoted by a, b and h respectively, thenV=a × b × h…

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: GivenRectangular piece of cardboard width (b)=18 inchesRectangular piece of cardboard length (l)=20…

Q: A production editor decided that a promotional flyer should have a 1-in. margin at the top and the…

Q: The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut…

Q: Find the length of HK for square GHJK. H. J 12 K

A: From the given figure notice that the length of the side of the square is GH=12. It is known that…

Q: A water tank, open at the top, consists of a right circular cylinder and a right circular cone, as…

Q: The volume of a cone is given by V = πr²h/3, where r is the radius of the base and h is the height.…

Q: 3. Determine the volume of the staircase shown below in two different ways. 20 cm 20 cm 20 cm 20 cm…

A: we can separate 3 cuboids of different dimensions from the given staircase. cuboid1 100×…

Q: An aircraft deigned for supersonic flight utilises a delta wing, as shown. Using the the table for…

A: Topic = Triangles

Q: 6. Find the largest possible area of a rectangle of width w and height h, if w + 2h = 12.

Q: in. The length of the square-end edge is in. The box height is The greatest volume of the box is…

Q: Based on the figure below, how much water is stored after 20 minutes in each of the tanks? How long…

Q: 22 Milk is sold in a rectangular carton with a square base of side length 5 inches and height 13.57…

Q: Given a single particle with shape and dimensions as in the image below, compute for the (a) Volume…

A: We are given a 3d cone-like shape along with its hight and radius of base. And we have to find its :…

Q: Two cylinders each with a height of 50 meters are shown. 50 in. Which of the following statement…

A: In the question for the given two cylinder (one right circular cylinder and one oblique cylinder).…

Q: Which of the following has a volume less than 432 cubic inches? a right hexagonal prism with a…

A: Topic:- volume of shapes

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

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: A cylindrical chemical storage tank with a capacity of 1000 is to be constructed and stood upright…

A: Given dimensions of warehouse is 12m by 15m and has a height of 11m and a cylindrical chemical…

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 6-meter intervals as…

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³…

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 6-meter intervals as…

A: Hhhh

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

Q: A truncated prism has a rectangular base whose length is twice its width. The corner heights are 16…

A: Find your answer below

Q: The radius and height of a right circular cone are measured with errors at most 3% and 2%…

A: Here, the given errors are: ∆rr×100=3,∆hh×100=2⇒∆rr=0.03,∆hh=0.02

Q: The volume of the resulting open top box when identical squares with side x are cut off from the…

A: Given that, the dimensions of the aluminum sheet are three-meter by five-meter. To find: The volume…

Q: Find the volume of the cylinder in terms of r and to the nearest tenth. 5 in 3 in The volume in…

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

A: Let, length of the box, x width of box, y height of box, z It is given that, total surface area of…

Q: The formula for volume of a cylinder is (Volume= h x rr2), where h is the height of the can and r is…

A: Given: where d = diameter h = height To determine: The volume of the cylinder

Q: which of the following is the outside surface area of the box?

A: Here they are not mentioned that height of the box as x, so we take height is equal to h.

Q: 2. Compare the following by placing >,< or = on the space provided between the two measures. 1. 5 m…

A: Given, 1. 5m ____ 500cm 2. 49 dam ____ 0.49 m 3. 8.7 hm2 ____ 8700mm2 4. 45m3 ____ 450 dm3 5.…

Q: If the base radius of a cylinder increases over time, while its volume remains constant, will the…

A: Assuming radius r>0 and height h>0 , volume of cylinder V=πr2h Given: r is increasing over…

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A: Length of the long sheet L = 10'' Width of the long sheet W = 8'' The side of the square cutting…

Q: If you have a block that looks like 2cm in size and feels like 3cm in size, and the reliability of…

A: Given that a block looks like 2cm in size and feels like 3cm in size, and the reliability of the…

Q: The volume of a right circular cone whose base has a radius r and that has a height of h is given by…

A: Given that: Volume of cone, V=π3r2h, h=10cm and r=30 cm and errors in height and radius = ±0.1cm

Q: A square piece of cardboard is formed into a box by cutting 10-centimeter squares from each of the…

A: Consider a square cardboard of side length 'x' centi meters. And 4 square pieces of side length…

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

Q: A tank with rectangular base and sides and open at the top, is to be constructed so that its depth…

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: To find the maximum possible volume of the box in cubic inches

Q: The volume of a cone is given by V = πr²h/3, where r is the radius of the base and h is the height.…

A: Given: r=5cm h=6.00±0.02 The volume of the cone is given by the formula So the volume of the cone…

Q: Find the values for each of the dimensions of an open-top box of length x, width y, and height…

Q: Find the volume of a pyramid whose base is a square with sides of length 4 units and which has a…

A: Given, A pyramid with square base of side length = 4 units and Height = 10 units We have to find…

Q: The widths (in meters) of a kidney-shaped pool were measured at 6-meter intervals, as indicated in…

Q: If the mass of a cube were 48 g, and its volume 24 cm3, what would its density be? A 5 g/ cm3 B 2 g/…

A: Given data, Mass=48g Volume =24 cm3 Density (d) =?

Q: The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with…

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

Concept explainers

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.

Question

The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with a possible error of 0.1 cm in each dimension. Which of the following is the
maximum error in calculating volume of the box?
O a. 115,5
O b. 155
O . 77,5
O d. 70
O e. 77

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cylinders and Cones$

Learn more about

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

Similar questions

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?
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?
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?
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?
In the following table, the radii and heights of cylinders are given. Determine the volumes of the cylinders. Round the answers to the nearest whole number. V=r2h where V=volume , =3.14 , r=radius , h=height 47.
Generalize the results found in Exercise 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a number of vertices? b number of lateral edges? c number of base edges? d total of base of edges? e number of lateral faces? f number of bases? g total number of faces?
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 Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. After a devastating rainfall, a basement floor that is 40 ft by 60 ft is covered in 18 in. of water. a How many cubic feet of water must be pumped from the basement? b How many gallons of water are represented by the answer in parta?
For Exercises 23 through 34, round the answers to 1 decimal place. 34. All dimensions in Figure 39-24 are in inches. Find the volume. Volume=(2a+c)bh6
For Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. Kiannas aquarium is box-shaped with dimensions of 2 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons.