Question: Square corners cut from a 30 cm by 20 cm piece of cardboard create a box when the 4 remaining tabs are folded upwards. The

Square corners cut from a 30 cm by 20 cm piece of cardboard create a box when the 4 remaining tabs are folded upwards. The voulume of the box is V(x)= x(30-2x)(20-2x), where x repersents the height.

a) Calculate the volume of a box with a height of 2 cm. b) Calculate the dimensions of a box with a volume of 1000 cm^3. c) Solve V(x) > 0, and discuss the meaning of your solution in the context of the question.

d) state the restrictions in the context of the question.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Part 1: The Circular Flow Model Use the numbers on the circular flow model to label the shapes and arrows indicated on the model with the terms listed below. Pay very close attention to the direction...

please help me out with a paper explanation please, I will really appreciate it. I am having a hard time with some of the questions 14. A piece of plexiglass is in the shape of semicircle with radius...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

Please answer the following questions # 10, 12, 13, 18, 24. Do exercises # 10, 12, 13, following the same exact format from the examples that are going to be provided. 7. Maximize Q = xy , where x...

Sites Pre-Algebra Part II, (Revision B) Exams & Quizzes Log Out 04 - Lessons 4 & 5, Exam 4 Part 1 of 2 - 0.0/ 49.999508 Points 0.0/ 3.3333 Points Question 1 of 30 You cut square corners with side...

Home H Week 7 "Applications of Differentiation" Courses James Rhoads ? Take Test: W7 Practice Take Test: W7 Practice Test Information Description Instructions Multiple Attempts This test allows...

can someone help me with this question A piece of cardboard measuring 34 cm long and 26 cm wide is used to make an open box. Equal squares of side length x centimetres are cut from the corners and...

Hi I didn't get these right could you explain why and provide the correct answer! 0/ 10 points 3 0 / 10 points An open-top rectangular box with square base is to be made from An open-top rectangular...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

I have the answers, but I don't know how to get them 1) a = 75, b = -75 2) a = 20, b = 10 3) l = 25, w = 25 5) base = 20, height = 10 6) Max. Volume = .5 x 2 x 2 = 2 3 m 7) length = 1060.6, width =...

Need help on question on B,F,G and H. Graphing and Describing a Volume Function A rectangular piece of cardboard of size 16 inches by 20 inches is to be used in a factory to create boxes to transport...

A lake has a surface area of 100 km2. One river is bringing water into the lake at a rate of 10,000 m3/s, while another is taking water out at 8000 m3/s. Neglecting evaporation of the water, how fast...

In the 1940s, rent controls were widely used in New York City, and to this day, tenants in rent-controlled apartments continue to pay low rents as long as they do not move. As a result, some of New...

Which of the following best descrbes the internal rate of return? A . diccount rate that is used to evaluabe fands bonowed fuom a lender for proffabily B . The rate at wicch tee proflability of in...

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...