File Edit View History Bookmarks Window Help H imathas.rationalreasoningnet R Rational Reasoning lMathAS Assess... Brownstein - MAT 170 - 75218 F22 > Assessment Brayan vazquez n 3.1: Modeling Function Relationships Between Quantities (Homework) C Due Fri 09/09/2022 11:59 pm You are an engineer for a company that produces shipping boxes. The boxes that are made on one machine are all in the shape of a cube. As the demand for different size boxes changes you need to be able to change the setting on the machine so you can vary the side length of the cube shaped box. Draw a picture of a cube and label the cube's side length, .9. Prior to placing your order for more cardboard, tape, packing material, etc. your boss asked you to determine each of the following: a. Write an expression to determine the surface area of a cube-shaped box, S A, in terms of its side length, .9 (in inches). SA = 65'2 v [ Preview What are the units for SA? [ square inches 6 l V b. Dene a formula to determine the volume of a cube-shaped box, V, in terms of its side length, 3, (in inches). 5A3 x l Preview ' What are the units for the cubes volume? l cubic inches . c H v c. Dene a formula to determine the total length, L, of the box's edges in terms of the box's side length, 3, (in inches) (You need to know how much tape is needed to secure all edges with tape.) 125 x \\ Preview What are the units for L? I inches : i v d. Dene a formula to determine the side length of a cube-shaped box, .9, in terms of the boxes volume, V. s=v"(1l3) v i Preview j Thu Sep 8 4220 PM Message instructor about this question Post this question to forum Abox is formed by cutting squares from the four corners of a 5"-wide by 7"-long sheet of paper and folding up the sides. Let :n represent the length of the side of the square cutout (in inches). 3. Write an expression in terms of a: that represents the width of the base of the box (in inches). lml b. Write an expression in terms of :c that represents the length of the base of the box (in inches). Preview c. Write an expression in terms of a: that represents the height of the box (in inches). lw d. Write a formula that expresses the volume of the box in cubic inches, V, in terms of the cutout length in inches, 3:. V = [Preview] Submit Q: 0.8 EEWG [4 i Safari File Edit View History Bookmarks Window TnuSep84220PM H imathas.rationa|reasoning.net El R Rational Reasoning lMathAS Assess... Unlimited attempts. Screen Shot Message instructor about this question ZZ0...20.00 PM Post this question to forum Abox is formed by cutting squares from the four corners of a 9"-wide by 11"-long sheet of paper and folding up the sides. Let :c represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). 3. Write a formula that expresses V in terms of a1. V = [m' b. If the cutout length increases from 0.7 to 2.8 inches, what is the change in the box's volume? (You may use your graphing calculator.) cubic inches W o. If the cutout length increases from 2.8 to 3.7 inches, what is the change in the box's volume? cubic inches l Preview ' ubmitl Question 6. Points possible: 3 Unlimited attempts. Message instructor about this question 9\": ;'1MD.l@ mm B m