#12 use image as refence A shipping box or paper carton is to have a square base and a square top, and to hold a capacity of 1 m². What is the smallest possible surface area (in m²) of the box? As indicated in thefigure, you can assume that the top and the base use double amount of the cardboard.

To find the dim and smallest surface area for the given box.

A shipping box or paper carton is to have a square base and figure, you can assume that the top and the base use double square top, and to hold a capacity of 1 m³. What is the smallest possible surface area (in m²) of the box? As indicated in the amount of the cardboard.

A shipping box or paper carton is to have a square base and figure, you can assume that the top and the base use double square top, and to hold a capacity of 1 m³. What is the smallest possible surface area (in m²) of the box? As indicated in the amount of the cardboard.

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.CR: Review Exercises

Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...

See similar textbooks

Related questions

Q: Given the set of positive integers Z+, which of the following properties does not hold for Zt to be…

Q: .1) following transformations: a) x − ¹ {\ c). (s+2) s(s-3) = b) L{^(3-2e-3t)²}= s+5 (S-1)²+9 ? -…

Q: let pro be the first of the maritha mean between two numbers and q the first of nn hermonic mean fue…

Q: What is the inverse of the following reaction? {(3,5),(5,3),(4,5)(3,5)} State whether or not the…

A: Given relation 3,5,5,3,4,5,3,5 which is equivalent to 3,5,5,3,4,5 We know inverse of a relation a,b…

Q: Consider F(x, y) = (y² − 2xy) i + (2xy — x²) j. (a) Show that F is a conservative vector field in…

A: the given vector field is F(x,y)=(y2-2xy)i+(2xy-x2)j we have to show that the vector field is…

Q: normals at O and P is between principal Show that the angle s(p²² + σ²), where s is the arcual…

Q: None of these Determine whether the set of solution defined by {x² – 1, e²x + 1, x} is linearly…

A: We have to check whether given set of solution is independent or dependent.

Q: Which of the following differential equation is associated to a solution defined by y = xsin2x ? A.…

Q: Find a power series representation for the function. f(x) = x6 tan−¹(x³) f(x) = n = 0 Determine the…

A: We find the power series and Radius of convergence.

Q: Use the given information to complete the following table. n(A)=50, n(B) = 60 n(AUB) = 95, n(U) =…

Q: 39 Find the sum of the series sin x + 3 sin 3x +5 sin 5x +...+(2k − 1) sin (2k-1)x

A: The given problem is to find the sum of the given series. Given series…

Q: exactly a century by Lettry A batmans seors Fouss. and Sixes on 20 consecutive ball so can be do it…

Q: Σε ≡ the series Σ (-1) ¹2" n! n=1 or divergent? Justify your answer. absolutely convergent, C

Q: 4. Find the surface area of the part of the sphere x² + y² + z² = 1 above the plane z = 1/√2.

Q: 2 Iƒ ƒn(x) = efn−1(x) for all ne N and fo If d nd {ƒn(x)}. dx

Q: Let L be the line segment with endpoints at (1,2,3) and (-1,1,4). A light source at is at the point…

A: We will find shadow of given points on the plane given and then find parametric equation of the line…

Q: The augmented matrix is given for a system of equations. If the system is consistent, find the…

Q: For each eigenvalue of A, find an associ Find a diagonal matrix D and an inver 0 1 0 1.1 0 0 01 0. 0…

Q: Expand the following: [X DX, L[y''''] a. L b. L[f"""""]Se

Q: Integrating Factors found by inspection y(x²y²m)dx + x (x²y²+n)dy=0 when x = e, y = 1 y(x² + y²-1)dx…

A: Multiplying by a function to each Equation, which is called integrating factor.

Q: By using the Cayley-Hamilton Theorem, find e^(At) of the following matrix A = [1 2;-2 -3].

A: Given information Matrix :- A=12-2-3 Find eAt using Cayley-Hamilton Theorem.

Q: Let T be the linear transformation T: R² R² that takes a Point (X,Y) E R² and reflects it across the…

A: By reflection of a point (x ,y) across x -axis the x -coordinate remains the same and the y…

Q: 4. Match the objective to the chart type best suited for it. Analyze the relationship between…

A: Analyze the relationship between classroom temparature and student participation - C. Scatter plot…

Q: Find a power series representation for the function. (Center your power series representation at x =…

Q: Find the one-sided limit (if it exists). lim *-(1/2) + 13x² tan x

Q: Find the area of region enclosed by x = t-tº, y=t-t³, 0≤ t ≤ 1 using Green's Theorem.

A: to find the area by green theorem

Q: 1. Let p be a prime and let g be a primitive root modulo p. Let a be an integer which is relatively…

A: This is an if and only if question and so has two parts. We use the definition of a primitive and…

Q: =) x1 + x2 + 2x3 + 2x1 + 3x2 + 6x3 + 3x2 + 4х3 + Х2 — Хз X3 - X1 6x4 = 11 19x4 = 36 15 28 6x4 = -12

A: We solve given system of equations by elimination method.

Q: Inverse Laplace transform, 1 (s²+1)(s-3) el Select one: O True cos(t) _ 3sin(t) e3t + 10 10 5

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. -5…

Q: Find the area of the given region. Use a graphing utility to verify your result. 2 sin x 1 + cos x…

A: From the picture lower limit of x is π/4 and upper limit of x is 3π/4.

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

Q: 1. Evaluate the following complex numbers below. a. loge(5 + 3j) b. In (4 + 5j)³j c. log(-15) d.…

Q: 44 If 2x=y¹5+y-1/5, then express y as an explicit dy = 25 y. +x. dx function of x and prove that (x²…

A: We will form a quadratic equation for y15 and solve it to get explicit value for y . Then use…

Q: O f(t)=e-1t (cos(4 t)- 10 sin(4 t))

Q: Your team is preparing a variety of pastries for a brunch event this weekend. You anticipate that…

A: It is anticipate that each of the 400 guests will consume about 1.75 pastries. 25% of the pastries…

Q: S Let f(x) be a continuous function on [0, 3] with f(0) = 1. In the Riemann integral 0 Hence x = y²…

Q: True or False? The vector (1, 1) is a linear combination of the vectors (a₁, a2) and (b₁, b2) if the…

Q: len ([4, 5, 6])

A: Given: len4,5,6 To find: Value of the given expression.

Q: Consider the differential equation defined by the auxiliary equation (D² - 1)y = 0. Find the…

Q: log16 2023 = log log

Q: Let L: R² R² be a linear transformation defined by 1 L ([]) = [2₂3] [] Which of the following is in…

Q: Find the limit by relating it to the definition of the Riemann integral for an appropriate function…

Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

Q: a) Evaluate £{e5¹}. b) Evaluate L{(t− 3)² + sin 7t + cos 8t} c) Use the Laplace transform to solve…

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

Q: Find the total upward flux of the field F =

A: To find the flux for given vector function

Q: Which of the following statements is CORRECT? O a. One drawback of the payback criterion is that…

Q: 1. At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to…

Q: If you add two elements of the set S and the answer is in S, this implies that S is closed under…

A: If we add two elements of the set S and the answer is in S that means If u, v ∈ S then u+v ∈ S

Question

#12 use image as refence

A shipping box or paper carton is to have a square base and a square top, and to hold a capacity of 1 m². What is the smallest possible surface area (in m²) of the box? As indicated in the
figure, you can assume that the top and the base use double amount of the cardboard.

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 with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
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?
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?
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
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?
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?
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?
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?